Hard

Question

A ball is projected from a certain point on the surface of a planet at a certain angle with the horizontal surface. The horizontal and vertical displacement x and y varies  with time t in second as:
            x = 10 and  y = 10 √3t − t2
The maximum height attained by the ball is

Options

A.100m
B.75 m
C.50 m
D.25 m

Solution

(Ymax)    ⇒   
⇒    (10 t − t2) = 10 − 2 t         ⇒    t = 5
⇒    Ymax = 10(5) − 52 = 25 m         Ans  ″D″

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