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Paraphin [41]
2 years ago
12

Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on to

p of a 400 ft building and toss candy treats onto the ground below. If he drops a bag of candy corn, how long will it take for it to land on the ground? What will the velocity of the bag be when it hits the ground?
Mathematics
1 answer:
Likurg_2 [28]2 years ago
7 0

Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.

Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude

g = 9.8m/s².

As Professor Sosa drops the bag, its initial velocity and time are 0.

The building has a height of 400ft, so adjusting units: y = 121.92 m and y_{0} = 0.

For this problem, going down will be the positive reference.

Then:

y=y_{0}+v_{0}t+\frac{g}{2}t^{2}

\Delta y=v_{0}t+\frac{g}{2}t^{2}

121.92=\frac{9.8}{2}t^{2}

t=\sqrt{\frac{121.92*2}{9.8} }

t ≈ 5

<u>It will take </u><u>5s</u><u> for the candy corn bag to land on the ground.</u>

Acceleration is the change in velocity per change in time, so:

g=\frac{\Delta v}{\Delta t}

As initial velocity and time are 0 and rearraging it:

v = g.t

v = 9.8*5

v = 49

<u>The bag will hit the ground with </u><u>velocity</u><u> of magnitude </u><u>49 m/s.</u>

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