Question 13. A balloon starts from the ground and moves vertically upwards with an acceleration of 2
m/s2. After 5s, a stone is released from the balloon. Find the time taken by the stone to reach the ground.
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Answer:
Initial Velocity of balloon (u) = 0 m/s
Acceleration (a) = 2 m/s²
Height reached by balloon by 5 seconds,
S = ut+0.5at²
= 0.5*2*(5)²
= 0.5*2*25 m
= 25 m
Now stone is released,
Acceleration due to gravity (g) = 9.8 m/s²
Initial velocity (u) = 0 m/s
S = ut+0.5gt²
25 = 0.5*9.8*t²
25 = 4.9t²
5.1 = t²
Time taken by the stone to reached the ground is 2.25 seconds.
I hope this helps.
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