A physics student on Planet Exidor throws a ball, and it follows the parabolic t

Question

A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in the figure. The ball's position is shown at 1.0 s intervals until t = 3.0 s. At t = 1.0 s, the ball's velocity has components vx = 2.0 m/s, vy = 2.0 m/s.

a. Determine the x- and y- components of the ball's velocity at t = 0.0 s, 2.0 s, and 3.0 s.

b. What is the value of g on Planet Exidor?

c. What was the ball's launch angle?

Explanation / Answer

Solving vy(1) and vy(2) by substitution shows that g = 2 m/s^2 on Exidor. vy(1) = 2 = vy - g * 1 vy(2) = 0 = vy - g * 2 g = 2 m/s Find initial value of vy v(1) = vy - gt 2 = vy - 2(1) vy = 4 m/s vx = 2 m/s = constant g = 2 m/s^2 V(t) = 2i + (4-gt)j V(0) = 2i + 4j m/s ->initial velocity launch angle: Arctan(y,x) = 63.435 degrees V(1) = 2i + 2j m/s V(2) = 2i + 0j m/s V(3) = 2i - 2j m/s

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