A ball is thrown vertically upwards with a velocity of 50 m/s. calculate
(a) the maximum height to which it rises.
(b) the total time it takes to return to the surface of earth. (takeg =10 m/s2 )
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Given :
Initial velocity of ball = 50m/s
To Find :
- Maximum height attained by ball.
- Total time taken by ball to return to the surface of the earth.
Solution :
■ For a body thrown vertically upward, g is taken negative as it acts in the opposite direction.
Acceleration due to gravity has constant magnitude so we can apply equation of kinematics to solve this question
A] Max. height attained :
❇ Third equation of kinematics :
➠ v² - u² = 2gH
- At maximum height; v = 0
➠ 0² - 50² = 2(-10)H
➠ -2500 = -20H
➠ H = 2500/20
➠ H = 125 m
B] Time of flight :
❇ First equation of motion :
Time of flight for a body thrown vertically upward at a speed of u is given by, T = 2u/g
➛ T = 2u/g
➛ T = 2(50)/10
➛ T = 100/10
➛ T = 10 s
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