You have an spring gun. The end of the gun is at 1 meter above the ground. This

Question

You have an spring gun. The end of the gun is at 1 meter above the ground. This gun is shoot horizontally with no air resistance. The cannon ball hits the ground 1.32 meters ahead from it was shoot. What is the cannon ball's initial velocity? Setup 4.3.1 Collect the data given by the problem (if the data is not given or implied leave it in blank): Initial position in the horizontal direction xi = Final position in the horizontal direction xf = Initial position in the vertical direction yi = Final position in the vertical direction yf = Initial velocity in the horizontal direction Vxi = Final velocity in the horizontal direction Vxf = Initial velocity in the vertical direction Vyi = Final velocity in the vertical direction Vyf = Initial time ti = Final time tf = Acceleration in the horizontal direction ax = Acceleration in the vertical direction ay = 4.3.2 From your vertical data, find your time of flight t = 4.3.3 From your horizontal data and your time of flight, find your velocity in the horizontal direction Vx= 4.3.4 Can you consider this be the shooting velocity of your gun, regardless of the angle?

Explanation / Answer

let the end of the gun is at (0,0)

& let the direction downward be the positive y- direction

For vertical motion,

y = 0.5*g*t^2

=> 1 = 0.5*10*t^2

=> t = 0.45 s

for horizontal direction,

distance = speed * time

=>1.32 = v * 0.45

=> v = 2.94 m/s

1) intial position in horizontal direction = 0

2) Final postion in horizontal direction = 1.32 m

3) Initial position in vertical direction = 0

4) Final position in vertical direction = 1 m

5) Initial velocity in horizontal direction = 2.94 m/s

6) Final velocity in horizontal direction = 2.94 m/s

7) Initial velocity in vertical direction = 0

8) Final velocity in vertical direction = v' = g*t = 4.5 m/s

9) Initial time = 0

10) Final tiem = 0.45 s

11) Acceleration in horizontal direction = 0

12) Acceleration in vertical direction = 10 m/s^2

Time of flight already calculated = 0.45 s

Initial velocity already calculated = 2.94 m/s

This is the inital velocity for angle = 0 with the horizontal

This will change for a non-zero value of angle .

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