Acar is traveling at a steady 79 km/h in a 50 km/h zone. a police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.9 m/s2 .how much time elapses before the motorcycle is moving as fast as the car?

We use the kinematic equation,to determine the time required for the motorcycle to reach the car's speed.

Here, v is the velocity of motorcycle after time t, and u is the initial velocity and police motorcycle moves with acceleration a.

Given   and . Take .

Substituting these values in above equation we get,

Thus, the motorcycle is moving as fast as the car after 2.77 s.

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