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The point from where a ball is projected is taken as the origin of the coordinate axes. The x and y components of its displacement are given by x = 6t and y = 8t - 5t2. What is the velocity of projection?

a
6 ms-1
b
8 ms-1
c
10 ms-1
d
14 ms-1

detailed solution

Correct option is C

vx=dxdt=6 and vy=dydt=8−10t Putting t = 0 (Since we have to find initial velocity) yx=8−10×0=8 v=vx2+vy2=62+82=10ms−1

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Similar Questions

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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