Question

A car travelling with a constant acceleration has a velocity of 6m/s at a given instant. In the next minute it travels 3km. Find its acceleration and the velocity after a minute

Answer 1

The distance traveled by car

$$d=v_it+\frac{at^2}{2}$$

$$3000=6\times 60+\frac{a\times 60^2}{2}$$

So, the acceleration of the car

$$a=\frac{22}{15}\:\rm{m/s^2}=1.47\:\rm{m/s^2}$$

The final velocity

$$v_f=v_i+at=6+\frac{22}{15}\times 60=94\:\rm{m/s}$$