A projectile is fired with an initial speed of 33 m/s at an angle of 57° above the horizontal. The object hits the ground 8.2 s later. (Neglect air resistance.)

(a) How much higher or lower is the launch point relative to the point where the projectile hits the ground? (If the point is lower, enter a negative number.)

(b) To what maximum height above the launch point does the projectile rise?

(c) What are the magnitude and direction of the projectile's velocity at the instant it hits the ground?

Question

A projectile is fired with an initial speed of 33 m/s at an angle of 57° above the horizontal. The object hits the ground 8.2 s later. (Neglect air resistance.)

(a) How much higher or lower is the launch point relative to the point where the projectile hits the ground? (If the point is lower, enter a negative number.)

(b) To what maximum height above the launch point does the projectile rise?

(c) What are the magnitude and direction of the projectile's velocity at the instant it hits the ground?

anonymous · Answer

For part (a), it will help to figure out the vertical component of the motion, and track its affects under the gravitational acceleration $g=9.8 \frac{\text m}{\text s}$.  Part (b) will follow from your analysis of part (a) in that you need to figure out when the ball comes to a vertical stop.  Then, for part (c), use the  final vertical velocity and the constant horizontal velocity that it originally had to formulate the final velocity.  Let me know how far that takes you.