Ball Launched from a Horizontal Cliff#

A small ball is launched from a horizontal cliff with initial speed 1.26 \(m/s\). The side of the cliff is sloped. The ball makes contact with the cliff side after falling a vertical distance of 51.2 cm.

Figure of a ball launched from a horizontal cliff with a sloped side. Theta is the angle between the sloped side and the vertical line going through the point where the slope starts.

Part 1#

How long was the ball in the air before hitting the side of the cliff?

Answer Section#

Please enter in a numeric value in \(s\).

Part 2#

What is the value of the angle \(\theta\) shown in the figure?

Answer Section#

Please enter in a numeric value in rad.

Part 3#

What is the velocity of the ball just before hitting the side of the cliff? Give your final answer in terms of the \(x\)- and \(y\)-components of the velocity and the unit vectors \(\hat{\imath}\) and \(\hat{\jmath}\).

Please enter the coefficient of \(\hat{\imath}\) (in \(m/s\)).

Answer Section#

Please enter in a numeric value in \(m/s\).

Part 4#

What is the velocity of the ball just before hitting the side of the cliff? Give your final answer in terms of the \(x\)- and \(y\)-components of the velocity and the unit vectors \(\hat{\imath}\) and \(\hat{\jmath}\).

Please enter the coefficient of \(\hat{\jmath}\) (in \(m/s\)).

Answer Section#

Please enter in a numeric value in \(m/s\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.