A Skateboarder and an Observer

Ximena is on a skateboard and has an initial velocity of (0.639 \(m/s\)) \(\hat{\imath}\) relative to Savannah who is at rest with respect to the earth. Just as they are gliding past Savannah, Ximena throws a ball in the positive \(x\)-direction from a height of 2.43 m. According to Ximena, the ball has an initial velocity of (3.14 \(m/s\)) \(\hat{\imath}\).

Part 1

What is the initial velocity of the ball according to Savannah?

Answer Section

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Part 2

How long is the ball in the air?

Answer Section

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Part 3

Relative to Savannah, where does the ball land?

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Part 4

If the mass of Ximena plus the skateboard is \(kg\) and the ball has a mass of \(kg\), what is Ximena’s speed, as measured by Savannah, immediately after releasing the ball?

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Part 5

Relative to Ximena, where does the ball land?

Answer Section

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Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.