1. Write down expressions/formulas describing the physical quantities describing

Question

1.  Write down expressions/formulas describing the physical quantities describing projectile motion as listed in (a) to (f) below.  Write the expressions in terms of some or all of the following constants and variables: t, y, Vx, Vy, Vo, Ax, Ay, g, theta, and x.

a) Horizontal position

b) Vertical position

c) Horizontal velocity

d) Vertical velocity

e) Horizontal acceleration

f) Vertical acceleration

3.  a)  Use the expressions from #1 to derive an expression for vertical position as a function of horizontal position.  Show the steps of your derivation in the space below.  By doing this, you will be removing the time dependence within the relationship so that it contains only terms containing y,x, v, g, and theta.

(Hint: Solve for t in your expression for the horizontal displacement then substitute this t expression into the vertical displacement expression.  

Explanation / Answer

1) a ) x = v0 cos theta t

b) y = v0 sin theta t - 1/2 g t^2

c) vx =v0 cos theta

d) vy = v0 si ntheta -g t

e) Ax = 0

f) Ay = -g

3) t = x/(v0 cos theta)

y = x tan(theta) t - 1/2 g (x/v0 cos(theta))^2

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