A helicopter is ascending vertically with a speed of 5.04 m/s . At a height of 124 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units.

Question
Asked Oct 21, 2019

A helicopter is ascending vertically with a speed of 5.04 m/s . At a height of 124 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units.

check_circleExpert Solution
Step 1

Given information:

Vertical velocity of the helicopter (u) = 5.04 m/s

Height of the helicopter (h) = 124 m

Let “t” be the time taken for the package to reach the ground

We know that value of “g” is 9.81 m/ s2

Consider upward direction as “+ve” and down ward direction as “-ve”

Step 2

The initial velocity of the package will be equal ...

Now consider the 2nd equation of motion:
h
= ut +
substitute the corresponding values with the appropriate sign
5.04t 4.9t2
-124
4.9t2 -5.04t - 124 = 0
Solving the above equation, we get:
t 5.57 s (or) 4.54 s
-ve value of time is ignored
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Now consider the 2nd equation of motion: h = ut + substitute the corresponding values with the appropriate sign 5.04t 4.9t2 -124 4.9t2 -5.04t - 124 = 0 Solving the above equation, we get: t 5.57 s (or) 4.54 s -ve value of time is ignored

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