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 t_H it takes the projectile to reach its maximum height H.

b)Find t_R, 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.

Answer 1

a) T = [ Vo sin ?] / g

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

C) H = [ Vo sin ?] � /(2g)

D) R = ( Vo� /g)sin 2?