College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 2, Problem 64PE
(a) Take the slope of the curve in Figure 2.64 to find the jogger's velocity at
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acceleration
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Fig. 3.10 Graphs describing a body moving with constant positive acceleration: (a) acceleration
versus time, (b) velocity versus time, and (c) position versus time
speed (m/s)
What Have I Learned So Far?
Consider the given graph of speed versus time shown here. Then find the values of
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The acceleration from 2 s to 3 s
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The Physics of Point Particles
A boat running at its top speed takes 3.0 hours to travel 12 km down a river. It then takes 5.0 hours to return to its starting place. What is the velocity of the river? (Answer should look like '0.35 km/h'. I know bad units.)
The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t is in seconds. Plot the velocity v and
acceleration a versus time for the first 6.4 seconds of motion and evaluate the velocity when a is zero. Make the plots and then
answer the questions.
Questions:
When t = 0.8 s,
V =
i
m/s,
a =
i
m/s2
When t = 3.7 s,
V =
i
m/s,
a =
i
m/s?
When t = 4.7 s,
V =
i
m/s,
a =
i
m/s?
When a = 0,
V =
m/s
Chapter 2 Solutions
College Physics
Ch. 2 - Give an example in which there are clear...Ch. 2 - Under what circumstances does distance traveled...Ch. 2 - Bacteria move back and f01th by using their...Ch. 2 - A student writes, "A bird that is diving for prey...Ch. 2 - What is the speed of the bird in Exercise 2.4?Ch. 2 - Acceleration is the change in velocity over time....Ch. 2 - A weather forecast states that the temperature is...Ch. 2 - Give an example (but not one from the text) of a...Ch. 2 - There is a distinction between average speed and...Ch. 2 - Does a car's odometer measure position or...
Ch. 2 - If you divide the total distance traveled on a car...Ch. 2 - How are instantaneous velocity and instantaneous...Ch. 2 - Is it possible for speed to be constant while...Ch. 2 - Is it possible for velocity to be constant while...Ch. 2 - Give an example in which velocity is zero yet...Ch. 2 - If a subway train is moving to the left (has a...Ch. 2 - Plus and minus signs are used in one-dimensional...Ch. 2 - What information do you need in order to choose...Ch. 2 - What is the last thing you should do when solving...Ch. 2 - What is the acceleration of a rock thrown straight...Ch. 2 - An object that is thrown straight up falls back to...Ch. 2 - Suppose you throw a rock nearly straight up at a...Ch. 2 - If an object is thrown straight up and air...Ch. 2 - The severity of a fall depends on your speed when...Ch. 2 - How many times higher could an astronaut jump on...Ch. 2 - (a) Explain how you can use the graph of position...Ch. 2 - (a) Sketch a graph of velocity versus time...Ch. 2 - (a) Explain how you can determine the acceleration...Ch. 2 - (a) Sketch a graph of acceleration versus time...Ch. 2 - Consider the velocity vs. time graph of a person...Ch. 2 - A cylinder is given a push and then rolls up an...Ch. 2 - Find the following for path A in Figure 2.59: (a)...Ch. 2 - Find the following for path B in Figure 2.59: (a)...Ch. 2 - Find the following for path C in Figure 2.59: (a)...Ch. 2 - Find the following for path D in Figure 2.59: (a)...Ch. 2 - (a) Calculate Earth's average speed relative to...Ch. 2 - A helicopter blade spins at exactly 100...Ch. 2 - The North American and European continents are...Ch. 2 - Land west of the San Andreas fault in southern...Ch. 2 - On May 26, 1934, a streamlined, stainless steel...Ch. 2 - Tidal friction is slowing the rotation of the...Ch. 2 - A student drove to the university from her home...Ch. 2 - The speed of propagation of the action potential...Ch. 2 - Conversations with astronauts on the lunar surface...Ch. 2 - A football quarterback runs 15.0 m straight down...Ch. 2 - The planetary model of the atom pictures electrons...Ch. 2 - A cheetah can accelerate from rest to a speed of...Ch. 2 - Professional Application Dr. John Paul Stapp was...Ch. 2 - A commuter backs her car out of her garage with an...Ch. 2 - Assume that an intercontinental ballistic missile...Ch. 2 - An Olympic-class sprinter starts a race with an...Ch. 2 - A well-thrown ball is caught in a well-padded...Ch. 2 - A bullet in a gun is accelerated from the firing...Ch. 2 - (a) A light-rail commuter train accelerates at a...Ch. 2 - While entering a freeway, a car accelerates from...Ch. 2 - At the end of a race, a runner decelerates from a...Ch. 2 - Professional Application: Blood is accelerated...Ch. 2 - In a slap shot, a hockey player accelerates the...Ch. 2 - A powerful motorcycle can accelerate from rest to...Ch. 2 - Freight trains can produce only relatively small...Ch. 2 - A fireworks shell is accelerated from rest to a...Ch. 2 - A swan on a lake gets airborne by flapping its...Ch. 2 - Professional Application: A woodpecker's brain is...Ch. 2 - An unwary football player collides with a padded...Ch. 2 - In World War II, there were several reported cases...Ch. 2 - Consider a grey squirrel falling out of a tree to...Ch. 2 - An express train passes through a station. It...Ch. 2 - Dragsters can actually reach a top speed of 145...Ch. 2 - A bicycle racer sprints at the end of a race to...Ch. 2 - In 1967, New Zealander Burt Munro set the world...Ch. 2 - (a) A world record was set for the men's 100-m...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - A basketball referee tosses the ball straight up...Ch. 2 - A rescue helicopter is hovering over a person...Ch. 2 - A dolphin in an aquatic show jumps straight up out...Ch. 2 - A swimmer bounces straight up from a diving board...Ch. 2 - (a) Calculate the height of a cliff if it takes...Ch. 2 - A very strong, but inept, shot putter puts the...Ch. 2 - You throw a ball straight up with an initial...Ch. 2 - A kangaroo can jump over an object 2.50 m high....Ch. 2 - Standing at the base of one of the cliffs of Mt....Ch. 2 - An object is dropped from a height of 75.0 m above...Ch. 2 - There is a 250-m-high cliff at Half Dome in...Ch. 2 - A ball is thrown straight up. It passes a...Ch. 2 - Suppose you drop a rock into a dark well and,...Ch. 2 - A steel ball is dropped onto a hard floor from a...Ch. 2 - A coin is dropped from a hot-air balloon that is...Ch. 2 - A soft tennis ball is dropped onto a hard floor...Ch. 2 - (a) By taking the slope of the curve in Figure...Ch. 2 - Using approximate values, calculate the slope of...Ch. 2 - Using approximate values, calculate the slope of...Ch. 2 - By taking the slope of the curve in Figure 2.63,...Ch. 2 - Construct the displacement graph for the subway...Ch. 2 - (a) Take the slope of the curve in Figure 2.64 to...Ch. 2 - A graph of v(t) is shown for a world-class track...Ch. 2 - Figure 2.68 shows the displacement graph for a...
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- Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 , where t is in seconds. What is the particle’s velocity when t = 6s, and what is its position when t = 11s? Create a plot for position, velocity, and acceleration versus time, from 0-15s. (Use integration.)arrow_forwardThe acceleration of a particle is a constant. At t = 0 the velocity of the particle is (15.8î + 18.4ĵ) m/s.At = 3.6 s the velocity is 10.5ĵ m/s. (Use the following as necessary: t. Do not include units in your answers.) (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.arrow_forwardA particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 5t2 j + 5t k. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. V = m/s (b) Write an expression for its acceleration as a function of time. a = m/s?arrow_forward
- The velocity of a particle moving along x-axis is defined by v=s3-4s2+6s where v is in m/s and s in meters. Compute the velocity when s=2m, compute the acceleration when s=2m.arrow_forwardAn object moves in one dimensional motion with constant acceleration a = 4.5 m/s². At time t = 0 s, the object is at xo = 2.9 m and has an initial velocity of vo = 4 m/s. How far will the object move before it achieves a velocity of v = 7 m/s? Your answer should be accurate to the nearest 0.1 m.arrow_forwardA car is traveling east at 17.5 m/s when it turns due north and accelerates to 32.5 m/s, all during a time of 5.00 s. Calculate the magnitude of the car's average acceleration (in m/s2).arrow_forward
- A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km] race? Express your answer in seconds. Ignore the time it takes to reach this speed, and assume the runner is always at this speed.arrow_forwardAlice is riding a bike at 12 mph, but decides to sprint. She takes 0.7 s to accelerate to 19 mph. At constant acceleration, calculate her acceleration, a/(ft/s2). (Here are possibly convenient conversion aids: 60 mph = 1 mi/min = 88 ft/s. This equation is exact. You may wish to verify the equation. One mile = 60*88 ft, and one hour = 60*60 s.)arrow_forwardthe 3**, it should be 368 metersarrow_forward
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