I only need help with part d. A ball is thrown with initial speed v0 up an inclined plane. The plane is inclined at an angle φ above the horizontal, and the ball is launched at an angle α > φ above the horizontal. (a) How much time does it take for the ball to land? (b) How far up the hill will the ball land? (c) For what angle α will the range from part (b) be a maximum? (d) What is the maximum range?
I only need help with part d. A ball is thrown with initial speed v0 up an inclined plane. The plane is inclined at an angle φ above the horizontal, and the ball is launched at an angle α > φ above the horizontal. (a) How much time does it take for the ball to land? (b) How far up the hill will the ball land? (c) For what angle α will the range from part (b) be a maximum? (d) What is the maximum range?
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I only need help with part d.
A ball is thrown with initial speed v0 up an inclined plane. The plane is inclined
at an angle φ above the horizontal, and the ball is launched at an angle α > φ above the
horizontal. (a) How much time does it take for the ball to land? (b) How far up the hill will
the ball land? (c) For what angle α will the range from part (b) be a maximum? (d) What is
the maximum range?
Transcribed Image Text:(a) The time taken by the object to land is given by the equation,
2v sin(a− p)
t=
gcoso
(b) The distance traveled by the object along the inclined plane before it lands is given by the equation,
2v²sin(a− p)cosa
X =
gcos²
(c) The range will be maximum when the angle a is given by the equation,
90° +4
2
a =
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