ou fire a ball with an initial speed V0 at an angle (ϕ) above the surface of an incline, which is itself inclined at an angle (θ) above the horizontal (Figure below). a. Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. b. What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance. c. Since there's no air resistance, this is a problem in projectile motion. The goal is to find the point where the ball's parabolic trajectory intersects the incline. It is best to choose the x-axis to be horizontal and direct to the right, the y-axis to be vertical and direct to the up, and the origin to be at the point where the ball is fired. In
You fire a ball with an initial speed V0 at an angle (ϕ) above the surface of an incline, which is itself inclined at an angle (θ) above the horizontal (Figure below).
a. Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline.
b. What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance.
c. Since there's no air resistance, this is a problem in projectile motion. The goal is to find the point where the ball's parabolic trajectory intersects the incline. It is best to choose the x-axis to be horizontal and direct to the right, the y-axis to be vertical and direct to the up, and the origin to be at the point where the ball is fired. In the projectile equations, the launch angle α0 is measured from the horizontal. What is this angle in terms of (θ) and (ϕ)?
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