A motorist drives along a straight road at a constant speed of 17.5 m/s. Just as she passes a parked motorcycle police officer, the officer starts to accelerate at 0.50 m/s2 to overtake her. Assume that the officer maintains this acceleration.". I am required to find the time it takes the police officer to reach the motorist, the speed of the officer as he overtakes the motorist, and the total displacement of the officer as he overtakes the motorist.

A motorist drives along a straight road at a constant speed of 17.5 m/s. Just as she passes a parked motorcycle police officer, the officer starts to accelerate at 0.50 m/s2 to overtake her. Assume that the officer maintains this acceleration.". I am required to find the time it takes the police officer to reach the motorist, the speed of the officer as he overtakes the motorist, and the total displacement of the officer as he overtakes the motorist.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 11OQ: A skateboarder starts from rest and moves down a hill with constant acceleration in a straight line,...

See similar textbooks

Similar questions

a motorist travelling with a constant velocity of 30m/s passes school- crossing comer, where the speed limit 20km/h. just as the motorist passes, a traffic officer on a motorcycle stopped at the comer starts off in pursuit with a constant acceleration of 2.0m/s^2. how much time elapsed (in seconds) before the officer catches up with the motorist.
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?
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?
In outer space, a rocket ship starts from rest and moves in a straight line with a constant acceleration of 100 m/s2 for 5 seconds. It then contniues with zero acceleration for 5 more seconds. How far does it travel in these 10 seconds?
A police car is traveling at a velocity of 16.0 m/s due north, when a car zooms by at a constant speed of 50 m/s due north. After a reaction time of 0.700 s the policeman begins to pursue the speeder with an acceleration of 5.00 m/s2. Including the reaction time, how long does it take for the police car to catch up with the speeder?
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 steam catapult launches a jet aircraft from the aircraft carrier John C. Stennis, giving it a speed of 175 mi/h in 2.50 s. (a) Find the average acceleration of the plane. (b) Modeling the acceleration as constant, find the distance the plane moves in this time interval.
A skateboarder starts from rest and moves down a hill with constant acceleration in a straight line, traveling for 6 s. In a second trial, he starts from rest and moves along the same straight line with the same acceleration for only 2 s. How does his displacement from his starting point in this second trial compare with that from the first trial? (a) one-third as large (b) three times larger (c) one-ninth as large (d) nine times larger (e) 1/3 times as large
Figure P2.15 shows a graph of vx versus t for the motion of a motorcyclist as he starts from rest and moves along the road in a straight line. (a) Find the average acceleration for the time interval t = 0 to t = 6.00 s. (b) Estimate the time at which the acceleration has its greatest positive value and the value of the acceleration at that instant. (c) When is the acceleration zero? (d) Estimate the maximum negative value of the acceleration and the time at which it occurs. Figure P2.15
A Lamborghini Aventador travels in a straight line along a road. Its position from a stop sign is given as a function of time by x(t) = at4 − bt6, where a = 4.50 m/s4, and b = 0.0200 m/s6. Determine the instant when the car is at rest again, together with its acceleration at that instant.
A car with initial velocity 7.2 m/s undergoes a constant acceleration. What is the acceleration (in m/s2 ) if the velocity of the car is 9.5 m/s 6 seconds later? Make sure to include a minus sign, if appropriate.
A commuter is driving a car along a straight road at a constant speed of 15.5 m/s. Just as she passes a law officer parked along the side of the road, the officer starts to accelerate 3.50 m/s2 to overtake her. Assume that the officer maintains this acceleration. What If? Determine the answers to parts (a) through (c) of the problem, if instead of accelerating at the same instant the car passes him, the officer instead begins his acceleration 1.00 s after the car passes him. (Enter the time in s, speed in m/s, and displacement in m.) time s speed m/s displacement m