A car passes a policeman at speed v, well above the speed limit. The policeman accelerates his motorcycle at the time the car passes with constant acceleration a. In the graphs below, the two lines correspond to the motion of the cop and the motion of the speeder from the moment the cop starts accelerating until he catches up with the speeder .
A B srayyan C D E
In order to explain how to get the answer to this question, let's break it down step by step.
First, it is given that a car passes a policeman at a speed v, which is above the speed limit. The policeman then accelerates his motorcycle with a constant acceleration a.
The graphs provided show the motion of both the cop and the speeder from the moment the cop starts accelerating until he catches up with the speeder. Let's analyze each graph:
A - This graph represents the position vs. time for both the cop and the speeder. The speeder's position initially increases at a constant rate until the cop starts accelerating. After that, their positions are constant until the cop catches up with the speeder.
B - This graph represents the velocity vs. time for both the cop and the speeder. The speeder's velocity is constant until the cop starts accelerating, at which point it starts decreasing. The cop's velocity increases constantly until he catches up with the speeder.
C - This graph represents the acceleration vs. time for both the cop and the speeder. The speeder's acceleration is zero until the cop starts accelerating, at which point it becomes negative. The cop's acceleration is positive and remains constant until he catches up with the speeder.
D - This graph represents the force vs. time between the cop and the speeder. The force initially remains zero until the cop starts accelerating, at which point it becomes negative, indicating that the cop is applying a force to slow down the speeder.
E - This graph represents the energy vs. time for both the cop and the speeder. The speeder's energy remains constant until the cop starts accelerating, at which point it starts decreasing. The cop's energy increases constantly until he catches up with the speeder.
To find the answer to the question, one must analyze these graphs and determine the relationship between the cop's acceleration, the speeder's speed, and the time it takes for the cop to catch up with the speeder.