David Sang and Darrell Hamilton Solutions for Chapter: Describing Motion, Exercise 6: Exercise 2.5

In an advertisement, a car is described like this: 'It can accelerate from $0 \mathrm{km}/\mathrm{h}$ to $80 \mathrm{km}/\mathrm{h}$ in $10 \mathrm{s}$'. Calculate by how much its speed increases in each second (on average).

A cyclist is travelling at $4 \mathrm{m}/\mathrm{s}$ She speeds up to $16 \mathrm{m}/\mathrm{s}$ in a time of $5.6 \mathrm{s}$. Calculate her acceleration upto two decimal level.

A stone falls with an acceleration of $9.8 \mathrm{m}/{\mathrm{s}}^2$. Calculate its speed after falling for $3.5 \mathrm{s}$ upto one decimal point.

On the Moon, gravity is weaker than on Earth. A stone falls with an acceleration of $1.6 \mathrm{m}/{\mathrm{s}}^2$ on the Moon. Calculate how long it will take to reach a speed of $10 \mathrm{m}/\mathrm{s}$. upto two decimal points.

A stone is thrown upwards on Earth, where the acceleration of free fall is $9.8 \mathrm{m}/{\mathrm{s}}^2$, leaving the ground at $10 \mathrm{m}/\mathrm{s}$. This is then repeated on Pluto, where gravity is $0.62 \mathrm{m}/{\mathrm{s}}^2$. Calculate how much longer the stone takes to stop on Pluto upto two decimals. Ignore air resistance in your calculations.