All Problems

Kinematics

Problem 1.4

A point moves rectilinearly in one direction. Fig. 1.1 shows the distance ss traversed by the point as a function of the time tt. Using the plot find: (a) the average velocity of the point during the time of motion; (b) the maximum velocity; (c) the time moment t0t_{0} at which the instantaneous velocity is equal to the mean velocity averaged over the first t0t_{0} seconds.

Reveal Answer
 (a) 10 cm/s, (b) 25 cm/s, (c) t0=16 s\text { (a) } 10 \mathrm{~cm} / \mathrm{s}, \text { (b) } 25 \mathrm{~cm} / \mathrm{s}, \text { (c) } t_{0}=16 \mathrm{~s}