Our bird will be called tiny bird...
mass of tiny bird -- 2.5 kg
screen size is 2x3 inches
1 in= 2m
The top of the hill is the start, or the zero point/ equilibrium
Tiny Bird is on planet Neptune, so his acceleration will be 11.46 m/s^2
Equations to determine the projectile motion of tiny bird:
∆x= v_o t+1/2 at^2
v^(2 )= v_o^2+2ad
v_f= v_o+at
The top of the hill is about 2.125 meters from the ground. Our bird is about .75 meters above the top of the hill.
The total distance in the y-direction is 2m. The total distance in the x-direction is 1.678m. The angle of the hill we measured to be about 50 degrees using a protractor on the screen. And the total distance we calculated tiny bird to have traveled was about 2.611 meters.
By knowing the distances in the x and y directions, we could plug the information into the equations below. First we solved for the y-direction for it's initial velocity and the plugging that velocity into a second equation to find the time. After obtaining the time, we then put the time in to solve for the initial velocity in the x, then to continue to solve for the x-velocity.
After going back and measuring the actual distance tiny bird is from the bottom of the hill, the actual distance is about 2.5 meters meaning he will make it to the bottom of the hill and not go to far and crash. The percent error in our calculations was about 4.3% which shows the game to be fairly realistic. :)
momentum= m*v=F*s
We will be using the mass * velocity to find his momentum
tiny birds mass is the same as above and his velocity is 1.42 m/s^2
Momentum is the same as impulse, or how much force at a second is behind an object. It's calculated by the change in velocity multiplied by the object's mass. The impulse of tiny bird was 3.55 N-s which means at that moment of him coming down the hill, he has 3.55 N-s of force. And now that we have the momentum, we can calculate his force using the change in time from above...
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