1. A man throws a stone up into air at an angle θ with the horizontal .
a) Draw the path of the projectile and mark directions of velocity and acceleration at the highest position.
b) What are the vertical and horizontal components of velocity at the point of projection.
c) What are the vertical and horizontal components of velocity at the highest point.
d) Obtain expressions for
(i) Maximum height reached
(ii) Time of flight and
(iii) Horizontal range of the projectile.
e) At what angle of projection range is maximum.
f) A cricket ball is thrown at a speed of 28m/s in a direction 30° above the horizontal. Calculate (a) the maximum height reached (b) the time taken by the ball to return to the same level and (c) the horizontal distance travelled by the ball.
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