1. An object is launched with an initial velocity of 96 ft/sec. The height of the object, h, in feet at time, t seconds is given by h = -16t² +96t. a. From what height is the object launched? b. How high is the object after 3 seconds? c. When does the object reach a height of 128 feet? d. When does the object hit the ground?

1. An object is launched with an initial velocity of 96 ft/sec. The height of the object, h, in feet at time, t seconds is given by h = -16t² +96t. a. From what height is the object launched? b. How high is the object after 3 seconds? c. When does the object reach a height of 128 feet? d. When does the object hit the ground?

Name: 1. An object is launched with an initial velocity of 96 ft/sec. The h
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: 1. An object is launched with an initial velocity of 96 ft/sec. The height of the object, h, in feet attime, t seconds is given by h = -16t² + 96t.a. From what height is the object launched?b. How high is the object after 3 seconds?c. When does the

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 10. A certain car increases its speed uniformly from 22.0 m/s to 37.0 m/s in a distance of 1.99 x…

A: Answer:- Given Initial speed (u) = 22.0 m/s Final speed (v) = 37.0 m/s Distance travelled (S) =…

Q: 1. The position of a particle is given by 7(t) = (2t + 4)î + (-3t² + 5t + 1)ĵ + 6k, where it is…

Q: The motion of a particle is described by the position function s(t) = t^3- 15t^2 + 63t, t>0 where t…

Q: 41. Average velocity. In t seconds, an object dropped from a certain height will fall s(t) feet,…

A: Given Data: The height is given by, st=16t2. (a) The values of s(5) and s(3) can be calculated as,…

Q: 1. A ball is dropped from rest from a height of 3m above the ground. a. What is the speed of the…

Q: 2. An object moves in the +x-direction under a constant acceleration. a. If an object is initially…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 3. An object's position as a function of time is given by the following formula: f(t) = {(0.25…

A: As per guidelines only 3 subparts are solved here.

Q: A projectile exits a launch tube with a velocity of 255 m/s. While accelerating through the launch…

A: Given,

Q: Starting from a pillar, you run 400 m east (+x direction) at an average speed of 4 m/s, and then run…

Q: A package was thrown out of a window with an initial velocity of 2m/s. If the window is 2m above the…

Q: A rock is dropped from the top of a building. Rock starts from rest and it takes 7seconds to reach…

Q: A toy car is moving at 13 cm/s when it begins accelerating at 1.4 cm/s2. If the acceleration is…

A: Write the given values with the suitable variables. u=13 cm/sa=1.4 cm/s2s=27 m Here, u is the…

Q: An object is dropped from a tower, 157 ft above the ground. The object's height above ground t sec…

A: Given data The height of the tower is h = 157 ft The expression for the height above the ground is s…

Q: 7. An object's velocity is v = t* – 3t² where t 2 0. a) At what time/times is the object at rest? b)…

Q: We are standing on the top of a 1040 feet tall building and launch a small object upward. The…

A: Given data The height of the building is H = 1040 ft. The expression for the height of the object…

Q: 4. A ball is initially rolling 3m/s east along a table. It undergoes an acceleration of 0.4m/s²…

Q: 1. Consider the following v-t graph. a. At what time(s) is the object moving fastest? b. What is its…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. A stone is dropped from the top of a cliff. It is seen to hit the ground below after 4.5 seconds.…

A: Given Stone thrown from the cliff and it hit the ground after 4.5 sec To find out Height of the…

Q: A car travels around a circle at a constant speed of 20.0 m/s. A magnetic compass in the car…

A: (4) Given: The constant speed of the car is 20 m/s. The initial direction of the car is the North…

Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

1. An object is launched with an initial velocity of 96 ft/sec. The height of the object, h, in feet at
time, t seconds is given by h = -16t² + 96t.
a. From what height is the object launched?
b. How high is the object after 3 seconds?
c. When does the object reach a height of 128 feet?
d. When does the object hit the ground?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2 [ Part a]

Step 3 [ Part b ]

Step 4 [Part c]

Step 5 [Part d]

Conclusion

Trending now

This is a popular solution!

Step by step

Solved in 6 steps

SEE SOLUTION Check out a sample Q&A here

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

One afternoon, a student was going home after attending a calculus class. For this reason, the student orders an online motorcycle taxi through the application. At the time of ordering, the online motorcycle taxi is in the position s = 2t² + 2t+4, where t is in units of time and s is in meters. a. Determine the average speed of the online motorcycle taxi at intervals of 3 minutes to 5 minutes. b. Determine the time when the instantaneous speed of the online motorcycle taxi is exactly the same as the average speed. NEED IN RUSH THANKS
1. A ball is thrown upward from the top of a 50 meter high building with an initial speed of 25 m/s.a. How much time does it take to reach the ground?b. What velocity does it have when it reaches the ground?
5. A small rock is thrown vertically upward with a speed of 12.0 from the edge of the roof of a 25.0 m tall building. The rock doesn't hit the building on its way back down and lands on the street below. Ignore air resistance. a. What is the speed of the rock just before it hits the street? b. How much time elapses from when the rock is thrown until it hits the street? c. Find the maximum height above the ground that the rock reaches. d. At what time after being released has the rock fallen 8.0 m below the roof edge? e. What is the ball's acceleration when it is 8.0 m below the roof edge? vy=25.18 m/s a. b. t = 3.79 s c. y 32.35 m d. t = 2.99 s e. ay = -9.8 m/s²
A motorist starts from rest and traveled as seen in the speed-time graph. The total distance traveled and the average velocity in m/s for the distance traveled is 1.5 3.0 4.5 6.0 7.5 Time in minutes Select one: O a. 7.5 km, 4.5 m/s b. 10 km, 1.5 m/s c. 4.5 km, 10 m/s Reply... Speed in km/h :
3. In Physics, the height of a free-falling object at a given time t is given by h = –16t² + v,t + h., where v, is the initial velocity, and h, is the initial height. A student throws a ball upward from a height of 48ft, initially at 32 ft/s. What is the maximum height of the ball?
7. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s?. Determine the time for the feather to fall to the surface of the moon. a. 2.29 s b. 1.29 s. c. 1.29 m d. 0.29 s. a C d
Q1.An electron, in a picture tube of a TV set, travelling in a straight line, accelerates uniformly from speed 4.3x10^4 to 9.0x10^6 m/s along a lenght of 2.3 cm. (15) a. How much time does the electron spend in this 2 cm region? b. What is the magnitude of the electron's acceleration?
4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24
A stone is thrown straight up from the edge of a roof, 650650 feet above the ground, at a speed of 1616 feet per second.A. Remembering that the acceleration due to gravity is −32ft/sec2−32ft/sec2, how high is the stone 55 seconds later?B. At what time does the stone hit the ground?C. What is the velocity of the stone when it hits the ground?
4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the ground
9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance. a. Find the maximum height, hℎ, in meters, reached by the arrow. b. In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.
Coasting due West on your bicycle at 9.6 m/s, you encounter a sandy patch of road 6.7m across. When you leave the sandy patch your speed has been reduced by 3.8m/s to 5.8 m/s. a. Assuming the sand causes a constant acceleration, what was the bicycle’s acceleration in the sandy patch? Give both the magnitude and direction. b. How long did it take to cross the sandy patch? c. Suppose you enter the sandy patch with a speed of only 7.6 m/s. Is your final speed in this case 3.4m/s, more than 3.4m/s, or less than 3.4 m/s? Explain.