First slide

Instantaneous velocity

Question

A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t - t³. How long would the particle travel before coming to rest ?

Easy

A

24m
B

40m
C

56 m
D

16 m

Solution

$v = \frac{dx}{dt} = 12 - 3 t^{2} = 0 \Rightarrow t = 2 s$ Distance travelled by particle before coming to rest = x (t = 2) - x (t = 0) = 16 m

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