A car increases its velocity uniformly from to in the first and then keeps moving…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A car increases its velocity uniformly from 10 m/s10\,\text{m/s} to 30 m/s30\,\text{m/s} in the first 5 s5\,\text{s} and then keeps moving with this speed for the next 5 s5\,\text{s}. Which one of the following statements is correct? (a) The average acceleration during the entire 10 s10\,\text{s} is 4 m/s24\,\text{m/s}^2 and the instantaneous acceleration at t=7 st = 7\,\text{s} is 0 m/s20\,\text{m/s}^2. (b) The average acceleration during the entire 10 s10\,\text{s} is 2 m/s22\,\text{m/s}^2 and the instantaneous acceleration at t=7 st = 7\,\text{s} is 2 m/s22\,\text{m/s}^2. (c) The average acceleration during the entire 10 s10\,\text{s} is 2 m/s22\,\text{m/s}^2 and the instantaneous acceleration at t=7 st = 7\,\text{s} is 0 m/s20\,\text{m/s}^2. (d) The average acceleration during the entire 10 s10\,\text{s} is 4 m/s24\,\text{m/s}^2 and the instantaneous acceleration at t=3 st = 3\,\text{s} is 4 m/s24\,\text{m/s}^2.

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