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Solution 8.7c

From Mechanics

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The maximum height is when the j component of the velocity is zero.

Using v=u+at  with u=8i+10j ms-1 and  a=−10j  ms-2 ,

v=8i+10j+(−10j)t 

Thus the ball is at its maximum height when t=1 s.

We use. the expression for the position vector obtained in part a), r=(8i+10j)t+21(−10j)t 2.

The maximum height is the j component of this vector at t=1 s

101+21−1012=5 m 

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