Jan Dangerfield, Stuart Haring and, Julian Gilbey Solutions for Exercise 5: EXERCISE 1B

A car accelerates from $4 \mathrm{m} {\mathrm{s}}^{-1}$ to $10 \mathrm{m} {\mathrm{s}}^{-1}$ in $3 \mathrm{s}$ at constant acceleration. Find its acceleration.

A car accelerates from rest to $10 \mathrm{m} {\mathrm{s}}^{-2}$ in $4 \mathrm{s}$ at constant acceleration. Find its acceleration.

A car accelerates from $3 \mathrm{m} {\mathrm{s}}^{-1}$ at an acceleration of $6 \mathrm{m} {\mathrm{s}}^{-2}$. Find the time taken to reach $12 \mathrm{m} {\mathrm{s}}^{-1}$.

An aeroplane accelerates at a constant rate of $3 \mathrm{m} {\mathrm{s}}^{-2}$ for $5 \mathrm{s}$ from an initial velocity of $4 \mathrm{m} {\mathrm{s}}^{-1}$. Find its final velocity.

A speedboat accelerates at a constant rate of $1.5 \mathrm{m} {\mathrm{s}}^{-2}$ for $4 \mathrm{s}$, reaching a final velocity of $9 \mathrm{m} {\mathrm{s}}^{-1}$. Find its initial velocity.

A car decelerates at a constant rate of $2 \mathrm{m} {\mathrm{s}}^{-2}$ for $3 \mathrm{s}$, finishing at a velocity of $8 \mathrm{m} {\mathrm{s}}^{-1}$. Find its initial velocity.

A car accelerates from an initial velocity of $4 \mathrm{m} {\mathrm{s}}^{-1}$ to a final velocity of $8 \mathrm{m} {\mathrm{s}}^{-1}$ at a constant rate of $0.5 \mathrm{m} {\mathrm{s}}^{-2}$. Find the car$\text{'}$s displacement in that time.

A wagon is accelerating down a hill at constant acceleration. It took $1 \mathrm{s}$ more to accelerate from a velocity of $1 \mathrm{m} {\mathrm{s}}^{-1}$ to a velocity of $5 \mathrm{m} {\mathrm{s}}^{-1}$ than it took to accelerate from rest to a velocity of $1 \mathrm{m} {\mathrm{s}}^{-1}$. Find the acceleration.