Recognitions:
Gold Member

## Projectile: Find initial velocity without time

1. The problem statement, all variables and given/known data
Knowing that snow is discharged at an angle of 40 degrees, determine the initial speed, v0 of the snow at A. Answer: 6.98 m/s

2. Relevant equations

3. The attempt at a solution

I have found the x and y velocity and position formulas. Now since I don't know time, should I solve both position equations for time (t) and set them equal to each other to get my only unknown, vi? The quadratic equation for time in the y-dir seems a bit hectic. Is there an easier way to go about trying to find vi?

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 Blog Entries: 7 Recognitions: Gold Member Homework Help Start with L = v0 t cosθ Δy = v0 t sinθ - (1/2) g t2 Solve the first equation for t and replace in second equation. Solve the ensuing equation for v0.

Recognitions:
Gold Member
 Quote by kuruman Start with L = v0 t cosθ Δy = v0 t sinθ - (1/2) g t2 Solve the first equation for t and replace in second equation. Solve the ensuing equation for v0.
I believe this is what you had in mind. The answer matches the professor's answer. Thanks again kuruman!

 Tags angle, projectile, time, velocity