Learning Goal: To understand how to apply the equations for one-dimensional moti

Question

Learning Goal:

To understand how to apply the equations for one-dimensional motion to the x and y directions separately in order to derive standard formulas for the range and height of a projectile.

(Figure 1) A projectile is fired from ground level at time t=0, at an angle ? with respect to the horizontal. It has an initial speed v0. In this problem we are assuming that the ground is level.

a)Find the time tH it takes the projectile to reach its maximum height H.

b)Find tR, the time at which the projectile hits the ground after having traveled through a horizontal distance R.

c)Find H, the maximum height attained by the projectile.

d)Find the total distance R (often called the range) traveled in the x direction; see the figure in the problem introduction.

Explanation / Answer

a) T = [ Vo sin ?] / g

B) T = 2*[ Vo sin ?] / g

C) H = [ Vo sin ?] /(2g)

D) R = ( Vo /g)sin 2?

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