Projectile Motion (AP)

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Part I.
Objective: predict where an obstacle should be placed in order to have a
projectile go through an opening of a certain height.
Procedure:
1. Launch the projectile from the edge of the table on a slide which has a horizontal end,
and note where it strikes the floor (use carbon paper).
2. Measure the distances H, h and X shown in the figure and record them in Table 1.
(h represents the height of the target above the floor). Use values in meters.
Table 1:
H=
h=
X=
General equations for projectile motion:
x  x0  v0 x  t
y  y0  v0 y  t 
1
a t2
2
At time tf on projectile trajectory:
3. Using your measured values of X and H, calculate tf.
4. Using your calculated value of tf, and measured value of X, calculate vox.
At time t on projectile trajectory:
5. Using your measured values of h and H, calculate time t.
6. Using your calculated values of t and vox, calculate the distance d where the target
should be placed for the projectile to go through the opening.
Part II.
Objective: calculate where the projectile will strike the floor when slide is at an
angle
Procedure:
1. Launch the projectile from the edge of the table on a slide which has an end set at an
angle.
2. Measure the angle of projection  in degrees.
3. Measure the distances H, d shown in the figure and record them in Table 2. Use
carbon paper on the small table and input values in meters.
Table 2:
H=
d=
=
At time t on projectile trajectory:
5. Use your measured values of d and . Substitute t as a function of distance d, vo and
angle  from the x-direction equation into the y-direction equation and calculate vo.
At time tf on projectile trajectory:
6. Using your measured value of H and the calculated value of vo, calculate time tf when
the projectile will strike the floor.
7. Using your measured value of  and the calculated values of vo and tf, calculate the
distance X where the projectile strikes the floor.
8. Measure distance X where the projectile strikes the floor also experimentally by
removing the small table (use carbon paper). Compute % difference between theoretical
and experimental values of X.
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