A man throws a ball vertically upwards with a velocity of 25m/s. Assuming g=10m/s2
a) find the height of the ball rises through in 2s.
b) How long will the ball take to come back to the ground?
Solve the question
Answers
Answer:
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A man throws a ball vertically upwards with a velocity of 25m/s. Assuming g=10m/s2
a) find the height of the ball rises through in 2s.
b) How long will the ball take to come back to the ground?
Solve the question
(a)
The ball is thrown upwards.∴ Acceleration due to gravity =−9.8m/s2Final velocity = 0m/sInitial velocity =25 m/sDistance =35 mTime =1.5 secTo find total distance traveled: the distance traveled by the ball in upward and downward motion will be the same. Hence, the total distance will be 35 m+35 m=70 mTo find position after 2 secUsing the formula:s=ut+21at2s=25×2+21×−9.8×(2)2s=50+(−19.6)s=30.4 m
(b)
Initial velocity of the ball final velocity =0m/sacceleration due to gravity (g)=−10m/s 2 (upward motion)By using the formula,v=u+atO=25+(−10)×t10t=25t=2.5sec.The time taken for upward journey is equal to the time taken for downward journey.Therefore, total time taken by the ball =2.5+2.5=5sec.