A Skateboarder and an Observer#

Mateo is on a skateboard and has an initial velocity of (-1.98 $$m/s$$) $$\hat{\imath}$$ relative to Savannah who is at rest with respect to the earth. Just as they are gliding past Savannah, Mateo throws a ball in the positive $$x$$-direction from a height of 4.75 m. According to Mateo, the ball has an initial velocity of (4.48 $$m/s$$) $$\hat{\imath}$$.

Part 1#

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

Answer Section#

Please enter in a numeric value in $$m/s$$.

Part 2#

How long is the ball in the air?

Answer Section#

Please enter in a numeric value in $$s$$.

Part 3#

Relative to Savannah, where does the ball land?

Answer Section#

Please enter in a numeric value in $$m$$.

Part 4#

If the mass of Mateo plus the skateboard is 62.2 $$kg$$ and the ball has a mass of 1.05 $$kg$$, what is Mateo’s speed, as measured by Savannah, immediately after releasing the ball?

Answer Section#

Please enter in a numeric value in $$m/s$$.

Part 5#

Relative to Mateo, where does the ball land?

Answer Section#

Please enter in a numeric value in $$m$$.

Attribution#

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