Archer Shooting Arrow

An archer shoots an arrow up into the air to hit a bird with an initial speed of \(v = {{ params.v }} \ \rm{ft/s}\). Their friend, who is standing \(d = {{ params.d }}\ \rm{ft}\) away, sees the arrow at an angle of \(\theta = {{ params.thetad }}^{\circ}\) with respect to the horizontal.

Part 1

At what time will the friend see the arrow pass by their line of site?

Answer Section

Please enter in a numeric value in s.

Part 2

What is the vertical velocity of the arrow at this time?

Answer Section

Please enter in a numeric value in \(\rm{ft/s}\).

Part 3

The archer misses the bird, causing the arrow to come straight back down. At what time since fire will the arrow pass the line of site of the friend again?

Answer Section

Please enter in a numeric value in s.

Part 4

What will its vertical velocity be at this time?

Answer Section

Please enter in a numeric value in \(\rm{ft/s}\).

Attribution

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