1.
A car covers $60 \text{ km}$ at $30 \text{ km/h}$ and next $60 \text{ km}$ at $60 \text{ km/h}$. Calculate the average speed.
2.
The position of a particle is given by $x(t) = 3t^2 - 6t + 4$. Find the time when the velocity becomes zero.
3.
A body dropped from a tower reaches the ground in $4 \text{ s}$. Calculate the height of the tower. ($g = 9.8 \text{ m/s}^2$)
4.
Draw the velocity-time graph for a particle moving with uniform retardation to rest and then accelerating in the reverse direction.
5.
A train $150 \text{ m}$ long moving at $45 \text{ km/h}$ crosses a bridge of length $850 \text{ m}$. Find the time taken to cross the bridge.
