Q.

A car is traveling on a highway at a speed of 25 m/s along x-axis. A passenger in a car throws a ball at an angle 37o with horizontal in a plane perpendicular the motion of the car. The ball is projected with a speed of 10 m/s relative to car What may be the initial velocity of ball in unit vector notation

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a

25i^+8j^+6k^

b

10i^+8j^+6k^

c

10i^+25j^+6k^

d

25i^+6j^+8k^

answer is D.

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Detailed Solution

Velocity of the car, vc→=25i^Velocity of ball with respect to carv→b/c=usin⁡37∘j^+ucos⁡37∘k^=10×35j^+10×45k^=6j^+8k^ Now: using v→b/c=vb→−v→cvb→=vb→+v→b/c=25i^+6j^+8k^
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