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A projectile is thrown with the point of projection as origin. In t seconds the vertical height covered by it is y=8t5t2and the horizontal distance covered is x=6t2t3. The velocity with which the body is projected is___

a
6 /s
b
8 m/s
c
10 m/s
d
12 m/s

detailed solution

Correct option is C

At time t = 0vx=dxdt=6−6t2=6m/svy=8−10t=8m/s∴v=vx2+vy2=36+64=10m/s

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