Find initial Velocity with only distance, angle, and acceleration.

[Jimkatz809]

Homework Statement

A cannon sends a projectile towards a target
a distance 1580 m away. The initial velocity
makes an angle 24◦ with the horizontal. The
target is hit.
The acceleration of gravity is 9.8 m/s2 .
What is the magnitude of the initial veloc-
ity?
Answer in units of m/s.

How high is the highest point of the trajec-
tory?
Answer in units of m.

How long does it take for the projectile to
reach the target? (Assume no friction)
Answer in units of s.

Homework Equations

The Attempt at a Solution

 

[rl.bhat]

Collect the relevant equations for projectile motion from any source.

 

[Jimkatz809]

Ive spent about 2 hours trying and trying this problem but i can't figure out the answers.
The equations i used were
Vox=VoCos0o
Voy=VoSin0o
V^2=Vo^ plus 2a(x-xo)
V=Vo plus at

 

[rl.bhat]

Since there is no acceleration in the x direction, vox remains constant.
Using the last equation you can find the time to reach the maximum height. Here V = 0, Voy = Vosinθ and a = g.
Double that time is the time of flight t.
Range of the projectile R = Vo*cosθ* t

 

[Jimkatz809]

Vo is not given

 

[rl.bhat]

Vo is not given

First of all find t in terms of Vo, sinθ and g. substitute this value in the expression for R and solve for Vo.