A particle is moving eastwards with a velocity of 15 m/s. suddenly it move towards north and moves with same speed in a time 10 sec. the average acceleration during this time is
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Explanation:
According to the problem the particle is moving eastwards with the velocity of 15 m/s
Therefore the initial velocity is v1 = 15 m/s
Then it moves towards north with the same velocity
Therefore the final velocity, v2 = 15 m/s
Therefore change in velocity,
Δv = v2 – v1 = 15 m/s due north - 15 m/s due east
or,Δv = 15 m/s due north + 15 m/s due west
Δv = (v2^2 + v1^2)^1/2
Δv = 15√2 m/s
Direction of Δv is given by,
tanθ = v2/v1 = -1
=> θ = -45°
Therefore the acceleration is a = Δv/t = 15√2/10 = 3/√2 m/s2 NW
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The answer is 3) 3/root 2
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