Lab 5: Trajectories

Trajectories

Samuel
Ellis
Mia
9-14-2016

2.

To use your understanding of projectile motion to predict the impact point of a ball on an inclined board and compare it with actual distance.

3.  

 We first assume there will be no frictional force and air-resistance, and gravity will be -9.8m/s^2. Then we are allow to use our kinematic equation to solve for time , distance and velocity for both x and y direction. 

4. 

Material: Aluminum "v-channel", steel ball, board, ring stand, clamp, paper, carbon paper

1. Launch the ball from a readily identifiable and repeatable point near the top of the inclined ramp. Notice where it hits the floor.

2. Tape a piece of carbon paper to the floor around where the ball landed. Launch the ball five times from the same place as before and verify the same place each time.

3. Determine the height of the bottom of the ball when it launches, and how far out from the table's edge it landed. 

4. Determine the launch speed of the ball from your measurements. Sketch the dimensions clearly.

5. Derive an expression that would allow you to determine the value of d given that you know v_o and theta. 

6. Place a board such that it touches the end of the lab table and the floor. Put a heavy mass on the floor at the foot of the board and use duct tap to fix the mass in place. Attach a piece of carbon paper to your board such that it "surrounds" the spot where you expect your ball to land. Make appropriate measurement, launching your ball five times from the same spot.

7. Determine the experimental value of your landing distances d and report your experimental value as d

8. Compare your experimental and theoretical values for d.  

(This is the spot where ball landed(darker one))

5. & 6.

( we first use y=1/2*a*t^2, to find the time in the air, then use x=v*t to solve for the velocity)

(Then we derived an equation base on x and y direction to solve for distance)

7.

Does not require graph.

8.

d=(2*(1.8^2)*sin(26))/(9.8*cos(26)^2)= 0.359m. At the end, we found the distance from releasing the ball to where it landed. During the process, we have to combined both x and y direction. So we can determine the distance from its air time and the horizontal speed.