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Two bodies start moving in the same stra...

Two bodies start moving in the same straight line at the same instant of time from the same origin. The first body moves with a constant velocity of `40ms^-1`, and the second starts from rest with a constant acceleration of `4ms^-2`.Find the time that elapses before the second catches the first body. Find the also the greatest distance between them prior to it and time at which this occurs.

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To solve the problem step by step, we will analyze the motion of both bodies and find the time when the second body catches the first, as well as the maximum distance between them before that happens. ### Step 1: Define the motion of both bodies - **Body A** moves with a constant velocity of \( v_A = 40 \, \text{m/s} \). - **Body B** starts from rest and accelerates with \( a_B = 4 \, \text{m/s}^2 \). ### Step 2: Write the equations of motion 1. For Body A (constant velocity): ...
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