Two adjacent five-dot sections of a ticker-tape measure $10 \mathrm{cm}$ and $16 \mathrm{cm}$, respectively. The interval between dots is $0.02 \mathrm{s}$. Deduce the acceleration of the trolley that produced the tape.

A car is initially stationary. It has a constant acceleration of $2.0 \mathrm{m} {\mathrm{s}}^{-2}$. Calculate the velocity of the car after $10 \mathrm{s}$.

A car is initially stationary. It has a constant acceleration of $2.0 \mathrm{m} {\mathrm{s}}^{-2}$. Calculate the distance travelled by the car at the end of $10 \mathrm{s}$.

A car is initially stationary. It has a constant acceleration of $2.0 \mathrm{m} {\mathrm{s}}^{-2}$.  Calculate the time taken by the car to reach a velocity of $24 \mathrm{m} {\mathrm{s}}^{-1}$.

A car is moving at $8.0 \mathrm{m} {\mathrm{s}}^{-1}$. The driver makes it accelerate at $1.0 \mathrm{m} {\mathrm{s}}^{-2}$ for a distance of $18 \mathrm{m}$. What is the final velocity of the car?

Trials on the surface of a new road show that, when a car skids to a halt, its acceleration is $-7.0 \mathrm{m} {\mathrm{s}}^{-2}$. Estimate the skid-to-stop distance of a car travelling at a speed limit of $30 \mathrm{m} {\mathrm{s}}^{-1}$(approximately $110 \mathrm{km} {\mathrm{h}}^{-1}$or $70 \mathrm{mph}$). 

At the scene of an accident on a country road, police find skid marks stretching for $50 \mathrm{m}$. Tests on the road surface show that a skidding car decelerates at $6.5 \mathrm{m} {\mathrm{s}}^{-2}$. Was the car that skidded exceeding the speed limit of $25 \mathrm{m} {\mathrm{s}}^{-1}$$\left(90 \mathrm{km} {\mathrm{h}}^{-1}\right)$ on this road?

An egg falls off a table. The floor is $0.8 \mathrm{m}$ from the table-top. Calculate the time taken to reach the ground. (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

An egg falls off a table. The floor is $0.8 \mathrm{m}$ from the table-top. Calculate the velocity of impact with the ground. $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$