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ololo11 [35]
3 years ago
9

A wrecking ball is hanging at rest from a crane when suddenly the cable breaks. The time it takes for the ball to fall halfway t

o the ground is 1.2 s. Find the time it takes for the ball to fall from rest all the way to the ground.
I WILL GIVE TONS OF POINTS AWAY TO WHOEVER ANSWERS THIS CORRECTLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
 
Physics
1 answer:
Naddik [55]3 years ago
8 0

Answer:

1.697s

Explanation:

We use the second equation of free fall under gravity as follows;

h=ut+\frac{1}{2}gt^2...............(1)

Since  the ball fell freely, u = 0m/s, therefore equation (1) reduces to

h=\frac{1}{2}gt^2...............(2)

Given that h is the total height the ball falls through in time t seconds.

However, according to the stated problem the ball falls halfway in 1.2s, this simply implies that the ball falls through a distance of \frac{h}{2} in 1.2s. Hence we can write the following, given that g=9.8m/s^2;

\frac{h}{2}=\frac{1}{2}*9.8*1.2^2\\hence\\h=9.8*1.2^2\\h=14.112m

We can now proceed to find the time t for which it falls through h = 14.112m as follows;

14.112=\frac{1}{2}*9.8*t^2\\14.112=4.9t^2\\t^2=\frac{14.112}{4.9}\\t^2=2.88\\t=\sqrt{2.88} \\t=1.697s

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