Projectile Motion, with only Displacement and Angle Known.

[n72.75]

Homework Statement

A projectile is fired at an angle of 35° and lands 88.5 Meters Down Range.
Assume no air resistance, and a gravatational acceleration of 9.80665 M/S²

I can get as far as the trig, but it doesn't seem like there is enough information to find time or velocity.

Find Initial Velocity Of the Projectile.

Homework Equations

a = $$\frac{(V _f - V _i) }{ t }$$
s = V _i + $$\frac{1}{2}$$ at ²

The Attempt at a Solution

See Attachment.

 

[Melawrghk]

Break up the motion into x&y components.

Since you know the distance, you can write an equation linking Vi and T (total time). Similarly because horizontal speed doesn't change, you can write an equation linking Vi and N=T/2.

Now, what happens when projectile is halfway there (with respect to the y-component of speed)?