1. Initially, a ball has a speed of 5.0 m/s as it rolls up an incline. Some time later, at a distance of 5.5 m up the incline, the ball has a speed of 1.5 m/s DOWN the incline. (a) What is the acceleration? What is the average velocity? How much time did this take? (b) At some point the velocity of the ball had to have been zero. Where and when did this occur?

1. Initially, a ball has a speed of 5.0 m/s as it rolls up an incline. Some time later, at a distance of 5.5 m up the incline, the ball has a speed of 1.5 m/s DOWN the incline. (a) What is the acceleration? What is the average velocity? How much time did this take? (b) At some point the velocity of the ball had to have been zero. Where and when did this occur?

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: A rocket-powered sled moves along a track, eventually reaching a top speed of 254 m/s to the east.…

A: Initial velocity is towards east.Time is Finally, the object comes to a stop, the final velocity is…

Q: 2. You look outside of your window in your apartment on the 5th floor. You see a ball going straight…

A: The net force acting on an object equals the product of mass and acceleration of the object. An…

Q: Does acceleration depend on the speed of an object? Why or why not? Give an example of a slow object…

Q: 5: Freight trains can produce only relatively small accelerations and decelerations. Part (a)…

Q: A ball is thrown vertically upward at 30 m/s. What is the highest point for the ball to reach after…

A: Given data: Initial velocity (u) = 30 m/s, upward Air resistance is negligible Required: The…

Q: You are driving through town at 10.0 m/sm/s when suddenly a ball rolls out in front of you. You…

Q: 1. A train moves on a straight track of length d = 4.82 km connecting two stations. While speeding…

A: The velocity of an object is defined as the rate of change of displacement with respect to time.…

Q: You are on a different planet, and you have been tasked to determine the acceleration of gravity on…

A: The ball is dropped from a cliff, that is at a height of 100 m. The ball falls down, with a final…

Q: A cyclist is coasting up a hill. At t=0, the cyclist has a velocity of 14.5 m/s. a) If the…

A: Given data: Initial velocity (u) = 14.5 m/s Final velocity (v) = 0 m/s Acceleration (a) = -2.5 m/s2…

Q: I need help on this problem: You go south of your friend's house 150 miles away at 50.0 MPH. Your…

Q: 14. Consider the motion of an elevator as it moves upwards between two floors of a building. The…

A: The normal force exerted by the elevator floor on the man during each stage of the elevator's…

Q: 3. At a certain moment, a car travelling at 40mph begins braking for a railroad crossing. Assume…

Q: 16. The displacement (in feet) of a particle moving in a straight line is given by s = }1² – 6t +…

A: Displacement is the shortest distance between the initial and the final position. it is a vector…

Q: 1. A cyclist travels for 12 min along a straight road. During the first 3.0 min of her trip, she…

Q: You drop an object from rest (initial velocity = 0) from a height of 6.8 metres. What is the final…

Q: A steel ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of 1.45…

A: According to question we need to find- Calculate its velocity just before it strikes the floor.…

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

Q: Given the position versus time plot of an object, which of the following statement is correct? 1.0F…

Q: 3. A rocket-powered sled moves along a track, eventually reaching a top speed of 173 m/s to the…

A: The initial speed of the sled: (To the east)Time taken: The final speed of the sled: (As the sled…

Q: 4. A ball is thrown straight up at initial speed of 5 m/s and falls down to the same start point.…

A: Throwing ball straight up is a special case projectile so to solve the given problem all the…

Q: 5. On the planet of Vormir, the acceleration of gravity is negative 4 meters per second per second.…

Q: 9. This graph plots the position, as a function of time, of an object that was thrown upward and…

A: Solution: If the object is thrown upward, at the highest position the velocity is zero and when it…

Q: 5. A snowboarder starting from rest accelerates uniformly downhill at 3.0 m/s 2 [forward]. How long…

A: We will answer the questions using kinematic equations of motion. The detailed steps are given…

Q: A car starts from rest and accelerates at 6 m/s² eastward for 3 seconds, then maintains that…

Q: 1. A ball is caught in a padded mitt. If the deceleration of the ball is 2.19x 10 m/s?, and 2.14 x…

A: The deceleration of the ball, a = -2.19×104 m/s2 The time interval, t = 2.14×10-3 s The final…

Q: It's a lazy day. You and your dog, Shamus, are both resting. Shamus is right next to you (you can…

A: Given Data: The acceleration is, a = 2.2 m/s2. The initial velocity is, u = 0 m/s. The first…

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…

Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

1. Initially, a ball has a speed of 5.0 m/s as it rolls up an incline. Some time later, at a
distance of 5.5 m up the incline, the ball has a speed of 1.5 m/s DOWN the incline. (a)
What is the acceleration? What is the average velocity? How much time did this take? (b)
At some point the velocity of the ball had to have been zero. Where and when did this
occur?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given variables.

VIEW

Step 2: Determine the acceleration, average velocity and time taken.

VIEW

Step 3: Determine the position and time at which velocity is zero

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 5 images

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

A rocket-powered sled moves along a track, eventually reaching a top speed of 174 m/s to the east. It then begins to slow down, reaching a complete stop after slowing down for 1.64 s. What was the sled s average acceleration and velocity during the slowdown phase? 0 m/s^2 0, 87 m/s east 106.1 m/s^2 east, not enough information 87 m/s^2 west, 87 m/s west 106.1 m/s^2 west, not enough information
You have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally? Explain your answer.
29. The position of a particle for t> 0 is given by r(t) = (3.01² i-7.0t³ -5.0t² k) m. (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What is the particle's velocity at t = 2.0 s? (d) What is its speed at t = 1.0 s and t = 3.0 s? (e) What is the average velocity between t= 1.0 s and t = 2.0 s? Solution
8. At time t=0, a ball is thrown vertically upward from the ground level, reaching its maximum height and returning back to the ground level. Which velocity versus time graph describes its motion? Take the upward direction as the positive direction. (a) WITH (b) (b) 220 9. An airplane flying horizontally at a height h=80 m above the ground with a speed of v-70 m/s drops a package to hit a mark on the ground. At what distance a in m ahead of the mark should the pilot release the package? (a) 200 (c) 240 (d) (d) 260 (e) 280 ..... h
3. Toy Train : A toy train pushed forward and released at x0=2.0 m with a speed of 2 m/s. It rolls at a steady speed for 2 s, then one wheel begins to stick. The train comes to a stop at 6m from the point at which it was released. What is the magnitude of the train's acceleration after its wheel begins to stick?
5. An astronaut drops a hammer from 2.0 meters above the surface of the Moon. If the acceleration due to gravity on the Moon is 1.62 meters per second, how long will it take for the hammer to fall to the Moon's surface? (1) 0.62 s (2) 1.2 s (3) 1.6 s (4) 2.5 s S (1
1. Two cars, A and B, are travelling in the same direction, although car A is 182 m behind car B. The speed of A is 24.3 m/s, and the speed of B is 18.4 m/s. (a) How much time does it take for A to catch B? (b) If at the end of this time, A begins to decelerate at 2.5 m/s2, calculate the total distance travelled by A.
A woman backs her van out of her parking space with a constant acceleration of 1.8 m/s2. Assume that her initial motion is in the positive direction. Part A: How long does it take her to reach a speed of 2.1 m/s in seconds? Part B: If she then brakes to a stop in 0.65 s, what is her acceleration in meters per square second?
A rocket-powered sled moves along a track, eventually reaching a top speed of 160 m/s to the east. It then begins to slow down, reaching a complete stop after slowing down for 1.83 s. What was the sled s average acceleration and velocity during the slowdown phase? 80 m/s^2 west, 80 m/s west 87.4 m/s^2 west, not enough information 0 m/s^2 0, 80 m/s east 87.4 m/s^2 east, not enough information
6. A super ball dropped from rest falls 2 meters vertically downward and rebounds 2 meters upward in a total time of 1.6 seconds. Just as it arrives at its initial starting point, what are the magnitude of the average velocity and the average speed, respectively? 0 m/s and 1.3 m/s zero and 2.5 m/s 2.5 m/s and 2.5 m/s 2.5 m/s and zero 1.3 m/s and 1.3 m/s
3.) You throw a ball straight up. The ball leaves your hand at a height of 2.00 m above the ground with a speed of 20.0 m/s (~45 mph). Ignore air resistance and use g = 10.0 m/s2 to answer the following questions. You can use a spreadsheet but show your sample calculations. 3a.) Calculate the height, y(t), and velocity, vy(t), at 0.50 second intervals until the ball hits the ground. Show your results in a table and put the units in the column headers: t (s), vy (m/s), y (m). 3b.) Use this data to draw a motion diagram for the ball at 0.50 second intervals. Label the height and the speed at each time interval. Label the origin, starting height, maximum height, and final height. Include the velocity vectors for each time and location of the ball. 3c.) Calculate the time it takes for the ball to hit the ground and the final velocity of the ball just as it hits the ground. Include this velocity vector in your diagram.
2. A stone was accidentally dropped from the top of a building 56 m high. After 0.38 s, another stone was thrown vertically downward from the top of the same building. It was observed that the two stones hit the ground at the same time. What was the initial velocity given to the second stone? (Answer: 4 m/s, downward) Give the solution for this (given, solution)