A projectile is fired from ground level at time t = 0, at an angle theta with re

Question

A projectile is fired from ground level at time t = 0, at an angle theta with respect to the horizontal. It has an initial speed v0. In this problem we are assuming that the ground is level. Find the time tNit takes the projectes to roach its maximum height H. Express tN in terms of vo, theta, and g (the magnitude of the acceleration due to gravity). Find tN the time at which the prajectble hits the ground after having traveled through a horizontal distance R Express the time in terms of vo. theta. and g. Find H. the maximum height attained by the projectile Express your answer in terms of v0 theta. and g. Find the total distance R (often called the range) traveled in the x direction, see the figure in the problem production Express the range in terms of v0. theta, and g.

Explanation / Answer

Vf = Vi + at

Max height, so Vf = 0.

Max height depends only on vertical so, Vi = V0sin

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d = Vit + .5at2

Only depends on horizontal distance, so Vi = V0cos

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Vf2 = V02 + 2ad

Max height, so Vf = 0.

Max height depends only on vertical so, Vi = V0sin

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d = Vxt

Only depends on horizontal distance, so Vx = V0cos

Take the answer from part 1 but multiply by 2 (since you only went halfway)

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