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A Car is travelling 36km/h due south turns west in 5 seconds and maintains the same speed. The acceleration of the car is: a) 2 m/s b) 50 m/s c) 25 m/s d) 2sqrt2 m/s (Ans d))

A Car is travelling 36km/h due south turns west in 5 seconds and maintains the same speed. The acceleration of the car is:
a) 2 m/s
b) 50 m/s
c) 25 m/s
d) 2sqrt2 m/s
(Ans d))

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Acceleration is

2i -2j m/s

Magnitude is 2 sqrt 2 m/s

Regards

Vikas TU
14149 Points
4 years ago
Initial velocity of car = 36 km/hr due north 
Final velocity of car = 36 km/hr due west
magnitude of change in velocity = sqrt(36^2 +36^2) = 36root(2)
(since velocity is a vector, so direction has to be taken into account)
Acceleration = change in velocity/time = 2.929 m/s^2 
(5/18 converts km/hr to m/s)

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