A seed shoots out from the pod with the speed of 2.4 m/s but with a direction of motion 30° below the horizontal. The seed pod is initially 1.2 m above the ground.

Question

A seed shoots out from the pod with the speed of 2.4 m/s but with a direction of motion 30° below the horizontal. The seed pod is initially 1.2 m above the ground.
(a) How long does it take for the seed to land? (Neglect air resistance.)
(b) What horizontal distance does it cover during its flight?

bobpursley · Answer

vertical speed initially: 2.4*sin30 time to ground: h=vi*t+1/2 g t^2 1.2=2.4*sin30*t+4.9t^2 put this in quadratic form, and solve for t using the quadratic equation. horizonal distance= 2.4cos30*t