The leader of a bicycle race is traveling with a constant velocity of +12.0m/s, and is 11.8m ahead of the second-place cyclist. The second-place cyclist has a velocity of +9.90m/s, and an acceleration of +1.20m/s2. How much time elapses before he catches the leader?

The leader of a bicycle race is traveling with a constant velocity of +12.0m/s, and is 11.8m ahead of the second-place cyclist. The second-place cyclist has a velocity of +9.90m/s, and an acceleration of +1.20m/s2. How much time elapses before he catches the leader?

Name: The leader of a bicycle race is traveling with a constant velocity of
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The leader of a bicycle race is traveling with a constant velocity of +12.0m/s, and is 11.8m ahead of the second-place cyclist. The second-place cyclist has a velocity of +9.90m/s, and an acceleration of +1.20m/s2. How much time elapses before he cat

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 55AP: A truck tractor pulls two trailers, one behind the other, at a constant speed of 1.00 102 km/h. It...

See similar textbooks

Related questions

Q: A motorist traveling with a constant velocity of 30 m/s passes a school-crossing comer, where the…

Q: The LRT passes through a station with an initial velocity of 23 m/s and decelerates at a rate of…

Q: A juggler throws a bowling pin straight up with an initial speed of 5.6 m/s from an initial height…

A: Initial velocity (u) = 5.6 m/sInitial height (h) = 4.3 m

Q: A hot-air balloon is drifting straight downward with a constant speed of 2.40 m/s. When the balloon…

Q: Accelerating uniformly at 2.4 m/s2, an object starts with an initial velocity v = 2 m/s to a final…

A: Given: The acceleration of the object is 2.4 m/s2. The initial velocity of the object is 2 m/s. The…

Q: Your friend, who is in a field 100 meters away from you, kicks a ball towards you with an initial…

A: Given Initial Velocity u = 20 m/s Displacement S = 100 m Deceleration a = -1.0 m/s2

Q: Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h…

A: Given: speed of first car V1 = 55 mi/h speed of second car V2 = 60 mi/h

Q: A particle moving at constant acceleration has velocities of 2.0 m/s at t = 2.0 s and −7.6 m/s at t…

Q: A jet plane comes in for a landing with a speed of 100m/s, and its acceleration can have a maximum…

A: Given that Initial Speed u = 100 m/s Maximum acceleration for stop plane a = -5 m/s2 Final speed for…

Q: Liz rushes down onto a subway platform to find her train already departing. She stops and watches…

Q: The leader of a bicycle race is traveling with a constant velocity of +11.10 m/s and is 10.0 m ahead…

A: The second cyclist will take approximately 5.52 seconds to catch the leader.

Q: A snowboarder on a slope starts from rest and reaches a speed of 1.2 m/s after 6.1 s. What is the…

Q: A juggler throws a bowling pin straight up with an initial speed of 3.3 m/s from an initial height…

Q: A train is traveling down a straight track at 20 m/s when the engineer applies the brakes, resulting…

Q: A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m…

A: Given : initial velocity of the boat = 0 m/s Acceleration of the boat = 3 ms-2 Time period = 8s

Q: A juggler throws a bowling pin straight up with an initial speed of 7.5 m/s from an initial height…

Q: A car starts from rest, then accelerates at a constant rate over a distance of 89 m. It then…

A: Given value--- first covered distance = 89 m. second cover distance ÷ 152 m. total taken time =…

Q: A particle is moving with a constant acceleration from x1 = 2.0 m to x2 = 8.0 m during a 2.5 second…

A: Distance covered(s) = 8m-2m =6m time(t) = 2.5s Final velocity (v) = 2.8m/s Initial velocity = u…

Q: A driver, driving at a constant speed of 30m/s in a 50 mph zone, is unaware that he is being…

Q: a man walks south at a speed of 2.00m / s for 15.0 minutes. then he turns and walks north at a…

A: Kinematics

Q: A person walks first at a constant speed of 4.60 m/s along a straight line from point ® to point ®…

Q: A minivan is traveling along a straight, level freeway at a constant velocity of 40 m/s when it…

Q: A well-thrown ball is caught in a well-padded mitt. If the acceleration of the ball is 2.10 × 104…

Q: A Saturn V rocket is launched straight up with a constant acceleration of 18 m/s2. After 150 s, how…

A: Given data: The acceleration of rocket is: a = 18 m/s2 The gravity acceleration is: g = 9.81 m/s2…

Q: A juggler throws a bowling pin straight up with an initial speed of 8.4 m/s from an initial height…

A: Given data: Initial speed, u = 8.4 m/s Initial height, h0 = 4.4 m Final height is also h0 = 4.4 m…

Q: A particle with velocity at any time t given by v (t) = 2e2" moves in a straight line. How far does…

A: We need to find the time interval over which the acceleration occurs. We can do this by solving…

Q: Truck A is moving with a constant velocity 7.32 while Truck B starts from rest and accelerates with…

A: In the given question , We have to determine the time in which Truck A , overtakes Truck B.

Q: A juggler throws a bowling pin straight up with an initial speed of 9.6 m/s from an initial height…

A: Given : Initial speed of ball = 9.6 m/s initial height = 1.3 m To Find : Time elapses…

Q: A jet is taking off from the deck of an aircraft carrier, as the figure shows. Starting from rest,…

Q: The catapult of the aircraft carrier USS Abraham Lincoln accelerates an F/A-18 Hornet jet fighter…

Q: A football player, starting from rest at the line of scrimmage, accelerates along a straight line…

Q: As soon as a traffic light turns green, a car speeds up from rest to 50.00 mi/h with constant…

A: The velocity of the car is, vcar=50 mi/h1.47 ft/s1 mi/h=73.5 ft/s The velocity of the bicycle is,…

Q: Recall the famous experiment of Galileo Galilei on top of the leaning tower of Pisa? If he…

Q: a runner, from rest, in a 150m race accelerates uniformly for the first 23m then runs with constant…

Q: Part of Sam's journey is on the Freeway, where he maintains a constant average speed of 96 km/h for…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: A person walks first at a constant speed of 5.10 m/s along a straight line from point O to point ®…

A: Given data: The velocity from A to R is v1=5.10 m/s. The velocity from R to A is v2=2.8 m/s.

Q: A juggler throws a bowling pin straight up with an initial speed of 8.1 m/s from an initial height…

A: Using kinematic equation, the expression for find the time is v=u-gtt=ug Substitute values in the…

Q: A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.55 m/s2 for…

A: Speed of car before braking is, v1=a1t1=1.55 m/s220 s=31 m/s

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

The leader of a bicycle race is traveling with a constant velocity of +12.0m/s, and is 11.8m ahead of the second-place cyclist. The second-place cyclist has a velocity of +9.90m/s, and an acceleration of +1.20m/s². How much time elapses before he catches the leader?

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

One simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.1 m/s in 2.54 s, what will be his total time?
A baseball is thrown straight up into the air with an initial velocity of 8 m/s from a height of 0.8 m. How much time does it take the baseball to hit the ground again?
A simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.2 m/s in 2.14 s, what will be his total time?
A car is 126 m from a stop sign and traveling toward the sign at 29 m/s. At this time, the driver suddenly realizes that she must stop the car. If it takes 0.200 s for the driver to apply the brakes, what must be the magnitude of the constant acceleration of the car after the brakes are applied so that the car will come to rest at the stop sign?
A truck tractor pulls two trailers, one behind the other, at a constant speed of 1.00 102 km/h. It takes 0.600 s for the big rig to completely pass onto a bridge 4.00 102 m long. For what duration of time is all or part of the truck-trailer combination on the bridge?
Liz rushes down onto a subway platform to find her train already departing. She stops and watches the cars go by. Each car is 8.60 m long. The first moves past her in 1.50 s and the second in 1.10 s. Find the constant acceleration of the train.
A juggler throws a bowling pin straight up with an initial speed of 8.9 m/s from an initial height of 2.7 m. How much time elapses until the bowling pin returns to the same initial height?
An object has an initial velocity of 19 m/s and a constant acceleration of 4.1 m/s ^ 2 . How long will it take before its final velocity is equal to three times its initial velocity?
A toy train rolling on a straight stretch of tracks, initially going 0.31 m/s slows uniformly to 0.14 m/s in 17 s. It then speeds up with a constant acceleration of magnitude 0.068 m/s2 over a distance of 4.2 m. i) How far does it go in the initial 14 s of slowing down?
As soon as a traffic light turns green, a car speeds up from rest to 50.00 mi/h with constant acceleration 9.00 mi/h/s. In the adjoining bicycle lane, a cyclist speeds up from rest to 20.0 mi/h with constant acceleration of 13.00 mi/h/s. Each vehicle maintains constant velocity after reaching a cruising speed. For what time interval is the bicycle ahead of the car?
A train is traveling down a straight track at 20 m/s when the engineer applies the brakes, resulting in an acceleration of −1.0 m/s2 as long as the train is in motion. How far does the train move during a 40-s time interval starting at the instant the brakes are applied?
A well-thrown ball is caught in a well-padded mitt. If the acceleration of the ball is 2.10 × 104 m/s2 , and 1.85 ms (1 ms = 10−3 s) elapses from the time the ball first touches the mitt until it stops, what is the initial velocity of the ball?