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Soloha48 [4]
2 years ago
15

A child drops a ball from a window that is 24 feet high. The ball strikes the ground in 3.0 seconds. What is the velocity of the

ball the instant before it hits the ground?
Mathematics
1 answer:
choli [55]2 years ago
5 0

Answer:

The velocity of the ball the instant before it strikes the ground is 30m/s

Given the data in the question

Since the ball was initial at rest before it was dropped by the child

Initial velocity;  

Time taken for the ball to hit the ground;  

Final Velocity;  

To find the velocity of the ball the instant before it hits the ground

We use the First Equation of Motion:

Where v is the final velocity, u is the initial velocity, t is time and a is the acceleration.

Now, since the ball was thrown from a particular height (window), it is under gravity and acceleration due to gravity;  

Hence, the equation becomes;  

We substitute our values into the equation

Therefore, the velocity of the ball the instant before it strikes the ground is 30m/s.

Step-by-step explanation:

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<em><u>using quadratic formula:-</u></em>

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x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

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