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Projectile: Find initial velocity without time 
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#1
Sep1110, 11:25 AM

PF Gold
P: 287

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, v_{0} 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, v_{i}? The quadratic equation for time in the ydir seems a bit hectic. Is there an easier way to go about trying to find v_{i}? 


#2
Sep1110, 09:25 PM

HW Helper
PF Gold
P: 3,443

Start with
L = v_{0} t cosθ Δy = v_{0} t sinθ  (1/2) g t^{2} Solve the first equation for t and replace in second equation. Solve the ensuing equation for v_{0}. 


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