Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 21E
A model rocket is launched straight upward. Its altitude y as a function of time is given by y = bt − ct2, where b = 82 m/s, c = 4.9 m/s2, t is the time in seconds, and y is in meters. (a) Use differentiation to find a general expression for the rocket’s velocity as a function of time, (b) When is the velocity zero?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. What is the distance of the space shuttle to the base 1 minute after it has been launched ?
An adventure racer ran 1.7 km north, then 3.2 km 63° to the south of due east, then
1.4 km west. She completed the trip in 2 hr: 5 min :8 s. What was the magnitude of
her average velocity over the entire trip in m/s?
Express your answer in metres/second to two decimal places (do not include units in
your answer).
A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. write a vector expression for the ball's acceleration as a function of time.
Chapter 2 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 2.1 - We just described three trips from Houston to Des...Ch. 2.2 - The figures show position-versus-time graphs for...Ch. 2.3 - An elevator is going up at constant speed, slows...Ch. 2.5 - Standing on a roof, you simultaneously throw one...Ch. 2.6 - The graph shows acceleration versus time for three...Ch. 2 - Under what conditions are average and...Ch. 2 - Does a speedometer measure speed or velocity?Ch. 2 - You check your odometer at the beginning of a days...Ch. 2 - Consider two possible definitions of average...Ch. 2 - Is it possible to be at position x = 0 and still...
Ch. 2 - Is it possible to have zero velocity and still be...Ch. 2 - If you know the initial velocity v0 and the...Ch. 2 - Starting from rest, an object undergoes...Ch. 2 - In which of the velocity-versus-time graphs shown...Ch. 2 - If you travel in a straight line at 50 km/h for 1...Ch. 2 - If you travel in a straight line at 50 km/h for 50...Ch. 2 - In 2009, Usain Bolt of Jamaica set a world record...Ch. 2 - The standard 26-mile, 385-yard marathon dates to...Ch. 2 - Starting front home, you bicycle 24 km north in...Ch. 2 - The Voyager 1 spacecraft is expected to continue...Ch. 2 - In 2008, Australian Emma Snowsill set an...Ch. 2 - Taking Earths orbit to be a circle of radius 1.5 ...Ch. 2 - Whats the conversion factor from meters per second...Ch. 2 - On a single graph, plot distance versus time for...Ch. 2 - For the motion plotted in Fig. 2.15, estimate (a)...Ch. 2 - A model rocket is launched straight upward. Its...Ch. 2 - A giant eruption on the Sun propels solar material...Ch. 2 - Starting from rest, a subway train first...Ch. 2 - A space shuttles main engines cut off 8.5 min...Ch. 2 - An egg drops from a second-story window, taking...Ch. 2 - An airplanes takeoff speed is 320 km/h. If its...Ch. 2 - ThrustSSC, the worlds first supersonic car,...Ch. 2 - Youre driving at 70 km/h when you apply constant...Ch. 2 - Prob. 29ECh. 2 - An X-ray tube gives electrons constant...Ch. 2 - A rocket rises with constant acceleration to an...Ch. 2 - Starting from rest, a car accelerates at a...Ch. 2 - A car moving initially at 50 mi/h begins slowing...Ch. 2 - In a medical X-ray tube, electrons are accelerated...Ch. 2 - Californias Bay Area Rapid Transit System (BART)...Ch. 2 - Youre driving at speed v0 when you spot a...Ch. 2 - You drop a rock into a deep well and 4.4 s later...Ch. 2 - Your friend is sitting 6.5 m above you on a tree...Ch. 2 - A model rocket leaves the ground, heading straight...Ch. 2 - A foul ball leaves the bat going straight up at 23...Ch. 2 - A Frisbee is lodged in a tree 6.5 m above the...Ch. 2 - Space pirates kidnap an earthling and hold him on...Ch. 2 - You allow 40 min to drive 25 mi to the airport,...Ch. 2 - A base runner can get from first to second base in...Ch. 2 - You can run 9.0 m/s, 20% faster than your brother....Ch. 2 - A jetliner leaves San Francisco for New York, 4600...Ch. 2 - An objects position is given by x = bt + ct3 where...Ch. 2 - An objects position as a function of time t is...Ch. 2 - In a drag race, the position of a car as a...Ch. 2 - Squaring Equation 2.7 gives an expression for v2....Ch. 2 - During the complicated sequence that landed the...Ch. 2 - The position of a car in a drag race is measured...Ch. 2 - A fireworks rocket explodes at a height of 82.0 m,...Ch. 2 - The muscles in a grasshoppers legs can propel the...Ch. 2 - On packed snow, computerized antilock brakes can...Ch. 2 - A particle leaves its initial position x0 at time...Ch. 2 - A hockey puck moving at 32 m/s slams through a...Ch. 2 - Amtraks 20th-Century Limited is en route from...Ch. 2 - A jetliner touches down at 220 km/h and comes to a...Ch. 2 - A motorist suddenly notices a stalled car and...Ch. 2 - A racing car undergoing constant acceleration...Ch. 2 - The maximum braking acceleration of a car on a dry...Ch. 2 - After 35 min of running, at the 9-km point in a...Ch. 2 - Youre speeding at 85 km/h when you notice that...Ch. 2 - Airbags cushioned the Mars rover Spirits landing,...Ch. 2 - Calculate the speed with which cesium atoms must...Ch. 2 - A falling object travels one-fourth of its total...Ch. 2 - Youre on a NASA team engineering a probe to land...Ch. 2 - Youre atop a building of height h, and a friend is...Ch. 2 - A castles defenders throw rocks down on their...Ch. 2 - Two divers jump from a 3.00-m platform. One jumps...Ch. 2 - A balloon is rising at 10 m/s when its passenger...Ch. 2 - Landing on the Moon, a spacecraft fires its...Ch. 2 - Youre at mission control for a rocket launch,...Ch. 2 - Youre an investigator for the National...Ch. 2 - You toss a book into your dorm room, just clearing...Ch. 2 - Consider an object traversing a distance L, part...Ch. 2 - A particles position as a function of time is...Ch. 2 - Ice skaters, ballet dancers, and basketball...Ch. 2 - Youre staring idly out your dorm window when you...Ch. 2 - A police radars effective range is 1.0 km, and...Ch. 2 - An object starts moving in a straight line from...Ch. 2 - Youre a consultant on a movie set, and the...Ch. 2 - (a) For the ball in Example 2.6, find its velocity...Ch. 2 - Your roommate is an aspiring novelist and asks...Ch. 2 - You and your roommate plot to drop water balloons...Ch. 2 - Derive Equation 2.10 by integrating Equation 2.7...Ch. 2 - An objects acceleration increases quadratically...Ch. 2 - An objects acceleration is given by the expression...Ch. 2 - An objects acceleration decreases exponentially...Ch. 2 - A ball is dropped from rest at a height li0 above...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Choose the best answer to each of the following. Explain your reasoning. Saturns many moons affect its rings pr...
Cosmic Perspective Fundamentals
A mixed culture of Escherichia coli and Penicillium chrysogenum is inoculated onto the following culture media....
Microbiology: An Introduction
DRAW IT In human spermatogenesis, mitosis of a stem cell gives rise to one cell that remains a stem cell and on...
Campbell Biology (11th Edition)
Modified True/False 6. __________ Halophiles inhabit extremely saline habitats, such as the Great Salt Lake.
Microbiology with Diseases by Body System (5th Edition)
Why might H2 metabolism have evolved as a mechanism for energy conservation in the earliest organisms on Earth?
Brock Biology of Microorganisms (15th Edition)
1.3 Obtain a bottle of multivitamins and read the list of ingredients. What are four chemicals from the list?
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. Write a vector expression for the ball’s velocity as a function of time.arrow_forwardthe rocket starts from rest at t=0 and travel straight up. it's height above the ground as a function of time can be approximated by s=bt^2+ct^3, where b and c are constants. at t=10s, the rocket's velocity and acceleration are v= 229m/s and a=28.2 m/s^2 A.) determine the time in seconds at which the rocket reaches supersonic speed (325 m/s) B.) determine the value of constant B C.) determine the value of constant Carrow_forwardAn object is dropped from rest and takes 2.25 seconds to reach the ground below. From what distance above the ground was it dropped? State this as a positive number and assume it has proper SI Units.arrow_forward
- I have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins his journey by traveling 58 meters in a direction directly south. He then runs 100.0 meters in a direction 30◦north of west. During the last leg of his journey, he follows a scent for 59 meters in a direction 30◦east of north. What distance does Wags end up from his initial startingpoint?arrow_forwardAn object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time taken for acceleration is 2.2 seconds. Calculate the acceleration in m/s2 to 2 sf. In your answer, you do not enter the i unit vector, but you do need to enter negative signs, if appropriate. e.g. if your answer is a = -5.4 i m/s,2 you would enter -5.4arrow_forwardThe velocity of a rat traveling on a straight line is v(s)=1/(s+1), where the velocity is in meters per second and s is in meters. the rat travels 10 meters from s=0 to s=10m. Assume s=0 when t=0. 1. The total time it took for the rat to reach s=10m is ____s. 2. The expression for the position as a function of time is s(t)=_____. 3. The absolute maximum (maximum of absolute values) acceleration of the rat during the 10-meter trip is ____ m/s^2. Please help solve these questions, the solutions are given below I'm just not sure how to solve it. (Use paper sheet ,Not Typewritten) The solutions are: 1) 110 2)(sqrt(t+0.25))-0.5 3)1.00arrow_forward
- In an experiment, a shearwater (a seabird) was taken from its nest, flown a distance 5190 kmkm away, and released. It found its way back to its nest 13.5 daysdays after release. If we place the origin in the nest and extend the +x+x-axis to the release point, what was the bird's average velocity for the return flight? Express your answer in meters per second. vav.−xvav.−x = ________________ m/s What was the bird's average velocity for the whole episode, from leaving the nest to returning? Express your answer in meters per second. vav.vav. = __________________ m/sarrow_forwardThe acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect metersc) Find the total distance traveled by the object from time 0 to time 3. metersarrow_forwardA helicopter is ascending vertically with a speed of 5.30 m/s. At a height of 107 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units. My Answer is that t= 4.163 but what unit is it? I tried s, m/s, min but none of them were correct. PLEASE HELP CONFIRM MY ANSWER and THE UNIT along with 4.163arrow_forward
- You are exploring a planet and drop a small rock from the edge of a cliff. In coordinates where the +y direction is downward and neglecting air resistance, the vertical displacement of an object released from rest is given by y – Yo = -gplanett2, where gplanet is the acceleration due to gravity on the planet. You measure t in seconds for several values of y – Yo in meters and plot your data with t² on the vertical axis and y - Yo on the horizontal axis. Your data is fit closely by a straight line that has slope 0.400 s2/m. Based on your data, what is the value of gplanet?arrow_forwardAn object's position in the x-direction as a function of time is given by the expression; x(t) = 5t2 + 2t where are quantities have proper SI Units. What is the object's average velocity in the x-direction between the times t = 1.11 s and t = 2.18 s. Just enter the number rounded to 3 significant figures and assume it has proper SI Units.arrow_forwardThe velocity of a rocket, in meters per second, t seconds after it was launched is modeled by v(t)=2√t. By applying Calculus, What is the total distance travelled by the rocket during the first four seconds of its launch?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Introduction to Vectors and Their Operations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=KBSCMTYaH1s;License: Standard YouTube License, CC-BY