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Motion in Straight Line

Free fall motion

A small parachute dropped from a 30 {~m} high cliff falls free

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Medium

Solving time: 3 mins

A small parachute dropped from a $30 m$ high cliff falls freely under gravity for $1.0 s$ and then attains a terminal velocity $1.2 m / s$ . $20.0$ s later a stone is dropped from the cliff. Will the stone catch up with the parachute before it reaches the ground? (Take $g = 10 m / s^{2}$ )

Views: 5,915 students

Book:

Physics Galaxy Mechanics Vol 1 (Ashish Arora)

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Samuel Discussed

A small parachute dropped from a

30 m

high cliff falls freely under gravity for

1.0 s

and then attains a terminal velocity

1.2 m / s

20.0

s later a stone is dropped from the cliff. Will the stone catch up with the parachute before it reaches the ground? (Take

g = 10 m / s^{2}

)

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Distance fallen by the parachute in first

1.0 s

= \frac{1}{2} g t^{2} = \frac{1}{2} (10) (1)^{2} = 5 m

Rest of the height

30 - 5 = 25 m

, it covers with uniform speed

1.2 m / s

. Thus time taken by the parachute to reach the ground is

= \frac{25}{1.2} = 20.84 s

.
Total time taken by the parachute to reach the ground is

= 1 + 20.84 s = 21.84 s

.
Stone is dropped after

20.0 s

. Time taken to reach ground is

= \frac{2 H}{g} = \frac{2 \times 30}{10} = 2.45 s

Total time taken by stone from the time of dropping the parachute is

20 + 2.45 = 22.45 s

It is clear that stone requires time longer than the parachute requires. Thus stone will not catch the parachute.

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Question Text	A small parachute dropped from a $30 m$ high cliff falls freely under gravity for $1.0 s$ and then attains a terminal velocity $1.2 m / s$ . $20.0$ s later a stone is dropped from the cliff. Will the stone catch up with the parachute before it reaches the ground? (Take $g = 10 m / s^{2}$ )
Topic	Motion in Straight Line
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	65

A small parachute dropped from a $30 m$ high cliff falls freely under gravity for $1.0 s$ and then attains a terminal velocity $1.2 m / s$ . $20.0$ s later a stone is dropped from the cliff. Will the stone catch up with the parachute before it reaches the ground? (Take $g = 10 m / s^{2}$ )

Text solutionVerified

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A small parachute dropped from a 30 m high cliff falls freely under gravity for 1.0 s and then attains a terminal velocity 1.2 m/s. 20.0 s later a stone is dropped from the cliff. Will the stone catch up with the parachute before it reaches the ground? (Take g=10 m/s2 )

Text solutionVerified

Practice questions from Physics Galaxy Mechanics Vol 1 (Ashish Arora)

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Practice questions on similar concepts asked by Filo students

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A small parachute dropped from a $30 m$ high cliff falls freely under gravity for $1.0 s$ and then attains a terminal velocity $1.2 m / s$ . $20.0$ s later a stone is dropped from the cliff. Will the stone catch up with the parachute before it reaches the ground? (Take $g = 10 m / s^{2}$ )