Two balls are thrown from a cliff. One is thrown directly

Chapter 2, Problem 2EF

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QUESTION:

Two balls are thrown from a cliff. One is thrown directly up, the other directly down. Both balls have the same initial speed, and both hit the ground below the cliff but at different times. Which ball hits the ground at the greater speed:

(a) the ball thrown upward, (b) the ball thrown downward, or (c) both the same? Ignore air resistance

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QUESTION:

Two balls are thrown from a cliff. One is thrown directly up, the other directly down. Both balls have the same initial speed, and both hit the ground below the cliff but at different times. Which ball hits the ground at the greater speed:

(a) the ball thrown upward, (b) the ball thrown downward, or (c) both the same? Ignore air resistance

ANSWER:

Step 1 of 2

We will consider one ball at a time.

Let the ball 1 thrown upwards from a cliff travels to a height of “h” distance before it moves downwards.

Height of the cliff:

So total distance travelled downwards for this ball 1 is

For the second ball, the total distance travelled is

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