1.) A helicopter is flying horizontally at a speed of 60 m/s andaccidentally dro

Question

1.) A helicopter is flying horizontally at a speed of 60 m/s andaccidentally drops a storage pod from an elevation on 300 meters.Ignoring air resistance, how long does it take for the storage podto hit the ground and what is the total distance the storage podcovers horizontally just before it hits the ground? Can you showyour work please?

2.) A group of physics students are conducting an experiment inprojectile motion. They want to launch a ball into a bucket that is8 m away from their spring-loaded launcher. They have hypothesizedthat by setting their launcher to its long-range setting andplacing the launcher barrel at a 35 degree angle that they canconsistently hit the bucket when they fire the launcher. Ignoringair resistance, calculate the time of flight for the ball in theirexperiment. Please show your work?

Explanation / Answer

   Q1)   initial velocity, U =60 m/s             height,h = 300 m            time taken to hit the ground, t = ( 2h / g ) = (2 * 300 / 9.8 ) = 7.83 s            horizontal distance travelled, X = U t = 60 * 7.83 = 469.5 m    Q2) horizontal range , X = 8 m           angleof projection, = 35 o           Range ,R = U2 Sin 2 / g                       8 = U2 Sin 70o / 9.8                          U = 9.134 m/s        Time of flight, T = 2Usin / g = 2 * 9.134 * sin 35o / 9.8 = 1.069s                                 Range ,R = U2 Sin 2 / g                       8 = U2 Sin 70o / 9.8                          U = 9.134 m/s        Time of flight, T = 2Usin / g = 2 * 9.134 * sin 35o / 9.8 = 1.069s                                   

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