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a girl, standing still, tosses a ball vertically upwards. one second later she tosses up another ball at the same velocity. the balls collide 0.5 s after the second ball is tossed. with what velocity were they tossed?

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User Pojo
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1 Answer

5 votes

Final answer:

To find the velocity at which the balls were tossed, we can use the equations of motion and solve for the value of v.

Step-by-step explanation:

To solve this problem, we can use the equations of motion. Let's assume that the initial velocity of the balls is v m/s. Since the girl tosses the second ball one second after the first ball, the time elapsed for the second ball is 0.5 seconds. Denoting the time elapsed for the first ball as t, we have the following equations:

For the first ball: -4.9t^2 + vt

For the second ball: -4.9(0.5)^2 + v(0.5)

Solving these equations simultaneously, we can find the value of v.

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User Montgomery
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