Constants You fire a ball with an initial speed vo at an angle ø above the surface of an incline, which is itself inclined at an angle 0 above the horizontal (Figure 1). (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle o gives the maximum range, measured along the incline? Ignore air resistance. IDENTIFY and SET UP Part A 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 ao is measured from the horizontal. What is this angle in terms of 0 and ø? Figure 1 of 1 Express your answer in terms of the variables 0 and ø. • View Available Hint(s)

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Constants
You fire a ball with an initial speed vo at an angle o
above the surface of an incline, which is itself inclined at
an angle 0 above the horizontal (Figure 1). (a) Find the
distance, measured along the incline, from the launch
point to the point when the ball strikes the incline. (b)
What angle o gives the maximum range, measured
along the incline? Ignore air resistance.
IDENTIFY and SET UP
Part A
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 ao
is measured from the horizontal. What is
this angle in terms of 0 and ø?
Figure
1 of 1
Express your answer in terms of the
variables 0 and ø.
• View Available Hint(s)
Vo
ΑΣφ
=
Transcribed Image Text:Constants You fire a ball with an initial speed vo at an angle o above the surface of an incline, which is itself inclined at an angle 0 above the horizontal (Figure 1). (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle o gives the maximum range, measured along the incline? Ignore air resistance. IDENTIFY and SET UP Part A 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 ao is measured from the horizontal. What is this angle in terms of 0 and ø? Figure 1 of 1 Express your answer in terms of the variables 0 and ø. • View Available Hint(s) Vo ΑΣφ =
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