Projectile Motion and Conservation of Energy
Derive a set of equations that perdict the x-position where the ball hits the ground (y=0). This expression should depend only on the measured parameters shown in Figure 1 below: h1, h2, h3, D, L and value change h'
1. Find the magnitude of launching velocity v by using the conservation of total mechancial energy (incorporating the estimate of the energy lost to friction.
2. Find the horizontal velocity vx vertical velocity vy by referring to referring to the geometry of the final section of the track.
3. Find the time the ball is in the air t by considering the vertical motion involving vy and h2 alone.
4. Finally find the rang x
Steps 3 and 4 may be combined by using the trajectory equation y(x) obtained by eliminating the time in equations for y(t) and x(t).
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