A body moves on a straight track such that its displacement (in metres) at time…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A body moves on a straight track such that its displacement (in metres) at time

t

seconds is

s(t)=5t^{2}-20t+15.

(i) Determine the body’s velocity function

v(t)

. (ii) Find the positive value of

t

for which the body comes to rest. (iii) Calculate the total displacement of the body from the starting point up to the instant found in part (ii).