A particle moves along a straight line with equation of motion $s = t ^ { 2 } - 2 t$ . Find the instantaneous velocity of the particle at time t = 1.
A)1
B)4
C)0
D)3
E)8
F)6
G)5
H)2

Question

Quizplus · Accepted Answer

The instantaneous velocity of a particle is given by the derivative of its position $s$ with respect to time $t$. Differentiating $s = t^2 - 2t$ with respect to $t$ gives $v = 2t - 2$. Substituting $t = 1$ into this expression gives $v = 2(1) - 2 = 0$.

A Particle Moves Along a Straight Line with Equation of Motion