Supply plane#

A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 90\(m\) above the glacier at a velocity of 130 \(\hat\imath\) \(m/s\). The horizontal distance between the plane and the drop site is \(R\) at the time the package is released from the plane. For this question, assume that \(-\hat\jmath\) (negative y) is downward and \(-\hat\imath\) (negative x) is to the left, round your answers to 2 decimal places.

Part 1#

What value of \(R\) is required to ensure that the package arrives on target? Neglect air resistance.

Answer Section#

Please enter in a numeric value in m.

Part 2#

What is the acceleration vector of the package after it has fallen a vertical distance of 50\(m\)? Remember to consider the sign of your answer.

Answer Section#

Please enter in a numeric value in \(m/s^2 \ \ \hat\jmath\).

Part 3#

What is the \(\hat\imath\)-component of the velocity vector (\(V_x\)) of the package after it has fallen a vertical distance of 50\(m\)? Remember to consider the sign of your answer.

Answer Section#

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

Part 4#

What is the \(\hat\jmath\)-component of the velocity vector (\(V_y\)) of the package after it has fallen a vertical distance of 50\(m\)? Remember to consider the sign of your answer.

Answer Section#

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

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.