Hello, DivideBy0!

Are we allowed to use Calculus?

A speeding motorbike travels past a stationary police car. The police car

starts accelerating immediately, and keeps accelerating until it has passed the bike.

Data: motorbike speed: 35 m/s; police car acceleration: 4 m/s²

How far does the police car travel before it overtakes the motorbike?

We have: .

. . Integrating: .

At

. . Hence: .

We have: .

. . Integrate: .

At

. . Hence: .

Integrate: .

At

.Hence: .

When are these two distances equal?

. .

. . Hence: .

The police car overtakes the motorbike in 17½ seconds.

The police car travels thesame distance as the motorbike.

. .