Question

The time taken by the car to reach 90 km/hr. from rest to 5 minutes. Calculate a) The acceleration of the car. b) The distance covered by the car.


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Answer 1

Answer:

Explanation:    a) 0.0833 m/sec²  , b) 3.75 km

The time taken by the car to reach 90 km/hr. from rest to 5 minutes.

Given,

t = 5 min = 5 x 60 = 300 sec

final velocity v = 90 km/ hr = 90 x 1000/3600 m/sec = 25 m/sec

initial velocity u = 0

a) we know v = u + a t where a is the acceleration.

so we can calculate acceleration as, a = (v-u) / t

or, a = (25-0)/300 m/sec² =  0.0833 m/sec².

b)  Let the distance covered by the car is s,

so we have the formula:  s = ut + 1/2 a t²

or, s = 0 x 300 + 1/2 x 0.0833 x (300)²

s = 3750 m = 3.75 km.