KinematicsHard

Question

A ball is projected  from a certain point on the surface of a planet on the surface of a planet at a certain with the horizontal  and vertical displacement x and y vary with time t in second as : x = 10 t ; y = - 10t - t2 the maximum height attained by the ball is

Options

A.100 m
B.75 m
C.50 m
D.250 m

Solution

x = 10√3t ; y = 10t - t2 ; = 10√3
vy = = 10 - 2t at ⇒ t = 5 sec
vy becomes zero at maximum height
⇒ y = 10 × 5 - 52 - 25m.

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