First slide
Relative motion based problems
Question

When a motorcycle moving with a uniform speed 11 m/s is at a distance 24 m from a car, the car starts from rest and moves with a uniform acceleration 2 m/s2 away from the motorcycle. If the car begins motion at t = 0, time at which the motorcycle will overtake the car is t = 

Moderate
Solution

Now as distance covered by motor cycle  = 24 + distance covered by car

so, 11t= 24+122t2 = t = 3s and t =8s

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