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Question
A sandbag ballast is dropped from a balloon that is ascending with a velocity of 40 ft/s. If the sandbag reaches the ground in 20 s, how high was the balloon when the bag was dropped? Neglect air resistance.
A sandbag ballast is dropped from a balloon that is ascending with a velocity of 40 ft/s. If the sandbag reaches the ground in 20 s, how high was the balloon when the bag was dropped? Neglect air resistance.
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Solution
The correct option is D 5760 ft
Take downward as positive. Then a=g=32.8 ft/s2 and v0=−40 ft/s.
Using second equation of motion
S=v0t+12at2=−40(20)+12(32.8)(20)2
=−800+6560=5760 ft
The balloon was 5760 ft above the ground.
Take downward as positive. Then a=g=32.8 ft/s2 and v0=−40 ft/s.
Using second equation of motion
S=v0t+12at2=−40(20)+12(32.8)(20)2
=−800+6560=5760 ft
The balloon was 5760 ft above the ground.
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