Jan Dangerfield, Stuart Haring and, Julian Gilbey Solutions for Exercise 6: EXERCISE 6C

A particle moves in a straight line so that its velocity, $v \mathrm{m}{ \mathrm{s}}^{-1}$, at time $t \mathrm{s}$ $(t>0)$ is given by $v=5t^2-20$. Find the displacement of the particle when it is stationary.

A particle moves in a straight line so that its velocity, $v \mathrm{m}{ \mathrm{s}}^{-1}$, at time $t \mathrm{s}$ is given by $v=t^3+3t^2-8t+1$. Find its displacement when $t=3$.

A tennis ball is hit vertically upwards. The upward velocity, $v \mathrm{m}{ \mathrm{s}}^{-1}$, of the ball at time $t \mathrm{s}$ is given by $v=20-10 t$. Find the upward displacement of the ball, from the initial position, when $v=0.$

A speed skater moves in a straight line with velocity $v \mathrm{m}{ \mathrm{s}}^{-1}$ at time $t \mathrm{s}$, given by $v=2t+t^2$, for $0⩽t⩽2$. Find the displacement of the skater:
when $t=0$

A speed skater moves in a straight line with velocity $v \mathrm{m}{ \mathrm{s}}^{-1}$ at time $t \mathrm{s}$, given by $v=2t+t^2$, for $0⩽t⩽2$. Find the displacement of the skater:
when $t=1$

A speed skater moves in a straight line with velocity $v \mathrm{m}{ \mathrm{s}}^{-1}$ at time $t \mathrm{s}$, given by $v=2t+t^2$, for $0⩽t⩽2$. Find the displacement of the skater:
when $t=2$