(a) Explanation Write the expression for the covered distance at a certain time when the car catches the bicycle. ( Δ x b ) = ( Δ x c ) (I) Here, ( Δ x b ) is the distance covered by bicycle and ( Δ x c ) is the distance covered by the car. Write the equation for distance covered by the bicycle. ( Δ x b ) = [ v b , f ( t − t b ) ] + 1 2 a b t b 2 (II) Here, v b , f is the final velocity of bicycle, a b is the acceleration of the bicycle, t is the total time and t b is the time taken by bicycle to reach maximum speed. Write the expression for the time taken by the bicycle. t b = v b , f − v b , i a b (III) Here, v b , i is the initial velocity of bicycle. Rewrite the expression distance covered by the bicycle. ( Δ x b ) = [ v b , f ( t − [ v b , f − v b , i a b ] ) ] + { 1 2 a b [ v b , f − v b , i a b ] 2 } (IV) Write the expression for the distance covered by the car. ( Δ x c ) = 1 2 a c t 2 (V) Here, a c is the acceleration of the car. Rewrite the expression from equation (I) by using (IV) and (V). [ v b , f ( t − [ v b , f − v b , i a b ] ) ] + { 1 2 a b [ v b , f − v b , i a b ] 2 } = 1 2 a c t 2 (VI) Conclusion: Substitute 20 (b) To determine The maximum distance the bicycle will lead the car.

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

9th Edition

ISBN: 9781305932302

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

See similar textbooks

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, fo…

Videos

Question

Chapter 2, Problem 82CP

(a)

To determine

The time interval at which the bicycle is ahead of the car.

(b)

To determine

The maximum distance the bicycle will lead the car.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 2, Problem 81CP

Chapter 2, Problem 83CP

Students have asked these similar questions

How can you tell which vowel is being produced here ( “ee,” “ah,” or “oo”)? Also, how would you be able to tell for the other vowels?

You want to fabricate a soft microfluidic chip like the one below. How would you go about fabricating this chip knowing that you are targeting a channel with a square cross-sectional profile of 200 μm by 200 μm. What materials and steps would you use and why? Disregard the process to form the inlet and outlet. Square Cross Section

1. What are the key steps involved in the fabrication of a semiconductor device. 2. You are hired by a chip manufacturing company, and you are asked to prepare a silicon wafer with the pattern below. Describe the process you would use. High Aspect Ratio Trenches Undoped Si Wafer P-doped Si 3. You would like to deposit material within a high aspect ratio trench. What approach would you use and why? 4. A person is setting up a small clean room space to carry out an outreach activity to educate high school students about patterning using photolithography. They obtained a positive photoresist, a used spin coater, a high energy light lamp for exposure and ordered a plastic transparency mask with a pattern on it to reduce cost. Upon trying this set up multiple times they find that the full resist gets developed, and they are unable to transfer the pattern onto the resist. Help them troubleshoot and find out why pattern of transfer has not been successful. 5. You are given a composite…

Chapter 2 Solutions

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are officers in the highway patrol more interested...Ch. 2.4 - Make a velocitytime graph for the car in Figure...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which one of the following statements is true? (a)...Ch. 2.6 - In Figure 2.12, match each vxt graph on the top...Ch. 2.7 - Consider the following choices: (a) increases, (b)...Ch. 2 - Prob. 1OQ Ch. 2 - A racing car starts from rest at t = 0 and reaches...Ch. 2 - Prob. 3OQ

Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 5OQ Ch. 2 - Prob. 6OQ Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - Prob. 8OQ Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - Prob. 10OQ Ch. 2 - Prob. 11OQ Ch. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A pebble is released from rest at a certain height...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - Prob. 17OQ Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - If the average velocity of an object is zero in...Ch. 2 - Prob. 2CQ Ch. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 4CQ Ch. 2 - Prob. 5CQ Ch. 2 - You throw a ball vertically upward so that it...Ch. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - (a) Can the velocity of an object at an instant of...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Position, Velocity, and Speed The position versus...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A particle moves according to the equation x =...Ch. 2 - The position of a pinewood derby car was observed...Ch. 2 - Prob. 6P Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 10P Ch. 2 - Prob. 11P Ch. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 2 - Prob. 14P Ch. 2 - Prob. 15P Ch. 2 - A child rolls a marble on a bent track that is 100...Ch. 2 - Figure P2.9 shows a graph of vx versus t for the...Ch. 2 - (a) Use the data in Problem 3 to construct a...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - Prob. 21P Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - Prob. 24P Ch. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - Prob. 26P Ch. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - A truck covers 40.0 m in 8.50 s while smoothly...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - Prob. 31P Ch. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - Prob. 33P Ch. 2 - Why is the following situation impossible?...Ch. 2 - Prob. 35P Ch. 2 - Prob. 36P Ch. 2 - Prob. 37P Ch. 2 - Prob. 38P Ch. 2 - A glider of length moves through a stationary...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Prob. 41P Ch. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - Prob. 43P Ch. 2 - Prob. 44P Ch. 2 - Prob. 45P Ch. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - Prob. 47P Ch. 2 - Prob. 48P Ch. 2 - Prob. 49P Ch. 2 - The height of a helicopter above the ground is...Ch. 2 - Prob. 51P Ch. 2 - Prob. 52P Ch. 2 - Prob. 53P Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - Prob. 55P Ch. 2 - Prob. 56P Ch. 2 - Prob. 57P Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - The speed of a bullet as it travels down the...Ch. 2 - Prob. 60AP Ch. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - Prob. 62AP Ch. 2 - Prob. 63AP Ch. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - Prob. 65AP Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - An elevator moves downward in a tall building at a...Ch. 2 - Prob. 68AP Ch. 2 - Prob. 69AP Ch. 2 - Prob. 70AP Ch. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - Prob. 72AP Ch. 2 - Prob. 73AP Ch. 2 - Prob. 74AP Ch. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Prob. 76AP Ch. 2 - Prob. 77AP Ch. 2 - Prob. 78AP Ch. 2 - Prob. 79AP Ch. 2 - Prob. 80AP Ch. 2 - Prob. 81CP Ch. 2 - Prob. 82CP Ch. 2 - In a womens 100-m race, accelerating uniformly,...Ch. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - Prob. 85CP

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.

The time interval at which the bicycle is ahead of the car.

Solution Summary: The author writes the expression for the covered distance at a certain time when the car catches the bicycle.

Concept explainers

Videos

The time interval at which the bicycle is ahead of the car.

The maximum distance the bicycle will lead the car.

Want to see the full answer?

Chapter 2 Solutions