A baseball player hits a ball at home plate at position (0,0). It travels at a constant speed across first base at position (90,0) in 2 seconds. What was the speed of the ball? When will it cross the fence at position (300,0) ? Explain how you know.

Question

Mathematics

Robert

15 October, 22:03

A baseball player hits a ball at home plate at position (0,0). It travels at a constant speed across first base at position (90,0) in 2 seconds. What was the speed of the ball? When will it cross the fence at position (300,0) ? Explain how you know.

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Answers (1)

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Maggie · Answer 1

The speed of the ball was 45 m/s.

It will take 6.67 seconds for the ball to get to 300 metres.

Step-by-step explanation:

A baseball player hits a ball at home plate at position (0,0) and it travels at a constant speed across first base at position (90,0) in 2 seconds.

This means that the ball traveled a horizontal distance of 90 metres.

The speed of the ball can be found by dividing the distance it moved by the time it took to get to that distance:

Speed = distance / time

∴ Speed = 90 / 2 = 45 m/s

The speed of the ball was 45 m/s.

Since we know the balls speed now, we need to calculate the time it will cross the fence which is 300 metres away.

From the formula for speed, time is given as:

Time = distance / speed

Hence:

Time = 300 / 45 = 6.67 seconds

It will take 6.67 seconds for the ball to get to 300 metres.