a ball is thrown by a player with a speed of 29.4 m/s in vertically upward direction. calculate the - a]maximum height reached
b]what is the instantaneous velocity and acceleration at the highest point
c]after how long the ball reaches the hands of a player
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1
Answer: [B]At maximum height, velocity of the ball becomes zero. Acceleration due to gravity at a given place is constant and acts on the ball at all points (including the highest point) with a constant value i.e., 9.8m/s
2
[C] & [A]Initial velocity of the ball, u = 29.4 m/s
Final velocity of the ball, v = 0 (At maximum height, the velocity of the ball becomes zero)
Acceleration, a =g=9.8m/s 2
From third equation of motion, height (s) can be calculated as:
v ^2 −u ^2 =2gs
s=(v ^2 −u ^2 )/2g= (0) ^2 −(29.4) ^2 )/2(−9.8)=3m
Time of ascent = Time of descent
Hence, the total time taken by the ball to return to the players hands = 3+3=6 s.
[A]
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0
Answer:
a) first use the formula v^2-u^2/2a
so, 0^2-29.4^2/2×9.8
so, -864.36/19.6
so, maximum height it will reach is 44.1M
b)
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