Lab 2

Prévia do material em texto

1. 
a. 
Table 1
The table shows the calculated initial velocity for each angle and their horizontal and vertical velocity components. The calculated horizontal range for each angle is also presented in the table
	Initial Velocities and Range
	Angle (degrees) 
	time (s)
	Vox (m/s)
	Voy (m/s)
	Vo (m/s)
	Range (m)
	
	
	
	
	
	
	0
	0.461
	4.32
	0
	4.32
	1.99
	
	30
	0.74
	3.73
	2.15
	4.31
	1.64
	
	60
	0.99
	1.96
	3.39
	3.92
	1.36
	
Table 1: Shows the average time of each angle flight and the initial velocity and its components along with the range
 
b. The maximum range was angle 0 with 1.99m. The maximum height at angle 0 is 1.04m. The overall maximum height is 1.63m at angle 60. 
c. 
Figure 1
The graph shows the relationship between the launch angles and the horizontal range
 
Figure 1: Launch angle affects the horizontal range of the steel ball
d. The calculated values are very off from the actual value of gravity. That means that the source of the error is from either doing the lab incorrectly or the calculations incorrectly. 
e. If shot vertically, the steel ball will take .853s with an initial velocity of 4.32m/s to hit the ground. The initial velocities were averaged to solve this because it would be a closer approximation to the velocity of the launcher at 90 degrees. 
2. The mathematic curve that the projectile motion should ideally be like is a parabolic curve. Two examples of when I’ve seen this curve outside of physics is when kicking a soccer ball or when punting a football. In both cases, the ball follows a projectile motion. 
3. Depending on the initial velocity, there could be two different launch angles that give the same range and two different launch angles that could give the same height. It is dependent on velocity. 
4. The time it would take for the steel ball to reach the ground when launched horizontally is .461s. This was derived using the equation [1] and the experimental data. When relating it to dropping it vertically, the time it takes to fall to the ground is equal to half the time it takes for the steel ball to be launched horizontally at angle 0. The time it takes to find the vertical drop, it is the same as finding the time it takes to reach the max height when launched horizontally. 
		[1]
		
		
Luanch Angle vs Horizontal Range
Angle (degrees)	1.99	1.64	1.36	0	30	60	Horizontal Range (m)
Launch Angle (degrees)