Question

A projectile is fired with an initial speed of 64.0 m/s at an angle of 41.2 ∘ above the horizontal on a long flat firing range.

1. Determine the maximum height reached by the projectile.

2.Determine the total time in the air.

3. Determine the total horizontal distance covered (that is, the range).

4. Determine the speed of the projectile 1.63 s after firing.

5. Determine the direction of the projectile 1.63 s after firing.

Answer #1

Initial Horizontal and Vertical components of velocities are

a)

From Kinematic equation

at maximum height Vfy =0

b)

from Kinematic equation

when projectile hits ground y=0

c)

Horizontal distance

d)

at t=1.63 s

Vfx = Vox = 48.15 m/s

From kinematic equation

Magnitude

e)

Direction

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