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A falling rock released from rest hits the ground at a speed of 16.0 m/s. How many seconds were needed for the rock to fall the last 12.0 m...

Question

A falling rock released from rest hits the ground at a speed of 16.0 m/s. How many seconds were needed for the rock to fall the last 12.0 m

A falling rock released from rest hits the ground at a speed of 16.0 m/s. How many seconds were needed for the rock to fall the last 12.0 m



Answers

A rock is thrown vertically upward with a speed of 12.0 $\mathrm{m} / \mathrm{s}$ from the roof of a building that is 60.0 $\mathrm{m}$ above the ground. (a) In how many seconds after being thrown does the rock strike the ground? (b) What is the speed of the rock just before it strikes the ground? Assume free fall.

How everyone here is given A rock is thrown into a well, having the depth 8.85 m If sound is hard after 1.2 seconds, we have to find us speed by with a spoon or rocket to be thrown. Given the speed of sound is 3 43 m per second time taken by the summer to reach from bottom to top. Velvety upon Yes, that is 8.85 point 3 43. So it is to me. Why am digital well five A chicken. I'm taken by the stool to fall Total time My next time taken by the summer to propagate from bottom to talk That is 1.2 minus. Why in general 58 that is 1.1742 seconds. So far Fall off rock Delta Y is can we not be plus a half It is Where distressed to be followed is 8.85 Initial velocity V M to find time is 1.174 seconds. G s 9.81 and 21.1742 on solving it. We not evil. That 1.78 meter brassica, that's all. Thanks for watching it

We know that a of CI is negative 32 feet per second squared. Therefore, what we know we can do is we can write this zero equals negative 32 time zero plus c. Thus, we know that seem must be equivalent to zero. Now, remember, they said the it hits the ground with the speed of 120 feet per second. And the problem therefore we know negative 32 teeth set equal to negative. 20. Remember the reason why it's night ofhis? Because actually moving downwards, we end up put three and 3/4 or 3.75 seconds. Therefore we know we can, right? A safety is negative. 32 terms 1/2 which is negative. 16 t squared plus eve to what she means. We can set this equal to zero giving us see if to solve equals 225 giving our final equation acid two's negative. So as of zeros, negative 32 were playing in zero plus R C of two we figured out was 225. This gives us 225 feet and this is our solution for the problem

First of all, we never acceleration. It's legal to know the sortie chew feet per second squared. So if we find V of tea, which is and how derivative of a 30 year view testicles no story to t plus C But we know obvious Darryl is equal to zero because they're starting velocity is zero. So if we said Stericycle to neighbor 30 to 10 0 plus see, we get seasonal to zero so therefore every of cheese but you may live 32 teeth. Next, we know that I hit the ground at a speed of ah, 120 feet person out of lost a 100 point feet per second. So we get negative 120 because this is the lost me is going downwards and is able to negatory to t So we get T is equal to three point folks 3.75 seconds. So you know that this is a time when it hits the ground. So next we know that the anti derivative of our Viotti is SSE which gets us night of 16 t squared plus d. And so first of all, we know that hits the ground at the time through front 75 seconds and we can choose to make ground level zero. So we have. Sarah is equal to negative succeed for 3.75 squared plus day. So we get d is equal to 225. And because when as a tea, when the time is zero. And this is when no time passed pass. And so this is one are this is why are stone is at the top of the cliff And so based off of this, we know that the stone was dropped from a height of 225 feet. So therefore the heart of the cliff must be equal to 20 Children. 25. That is our answer.

This problem covers the concept of Newton's second law of motion, and from Newton's second law of motion in a free fall, the vertical acceleration is a Cuban into the gravity. Eastern acceleration, you do the Earth gravity. So from from from the Law of Canna medics, for part A. The time taken by the rock to follow distance of height. Edge is equivalent. Sparrow it off. Go into edge upon key. Now, for part A as equals 50 m so that I'm taken by the rock is a Cuban spiraled off two and two 50 m upon 9.8 needles for second square. All the time taken by rock is a Cuban. 3.2 seconds. Now, party The total time taken by the rock to fall a distance height of 100 m that is T two is cuba into squared off to it 100 m Upon 9.8 meters four seconds. And that is a Cuban, 4.5 seconds. So the time taken by the rob to fall next to three seconds, That is the turkey. She's a Cuban, too. To to my honesty, and that is 4.5 seconds minus 3.2 seconds. The time taken by the rock to fall next 50 m is Cuban 1.3 seconds.


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