Time of Flight (s) Height (m) Ideal Launch Speed (m/s) Predicted Range (m) Track Length (m) Measured Range (m) “Real” Launch Speed (m/s) % Difference in Speeds 1.40 2.20 1.67 1.00 1.77 1.46 0.73 1.45 1.29 0.45 1.09 0.97 0.22 0.76 0.66 The launch height is 0.742 m above the floor. Track Length is the entire length of track for which the tires are in contact with the track. -The car’s velocity at launch is calculated using two different techniques. Why are they different? What is this difference attributed? Write a paragraph to discuss the difference between the velocities and indicate which technique gives an “ideal” velocity and which one gives the “real” velocity. -Write a paragraph discussing when the car becomes a projectile and then show the equation used to calculate the time of flight (i.e., the time that the car is a projectile). -Write a paragraph showing the calculations to determine the car’s velocity from the measured ranges in the table above. Show the equations with which you start, with symbols only, and how the equations combine to give an expression for the velocity. -From the two velocities, and the track length (the distance covered while the car’s tires are in contact with the track), show how to calculate an approximate value for the friction between the track and the tires. Show the equations used and discuss your results. (mass of car:32 grams).
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
|
Time of Flight (s) |
Height (m) |
Ideal Launch Speed (m/s) |
Predicted Range (m) |
Track Length (m) |
Measured Range (m) |
“Real” Launch Speed (m/s) |
% Difference in Speeds |
|
|
1.40 |
|
|
2.20 |
1.67 |
|
|
|
|
1.00 |
|
|
1.77 |
1.46 |
|
|
|
|
0.73 |
|
|
1.45 |
1.29 |
|
|
|
|
0.45 |
|
|
1.09 |
0.97 |
|
|
|
|
0.22 |
|
|
0.76 |
0.66 |
|
|
The launch height is 0.742 m above the floor. Track Length is the entire length of track for which the tires are in contact with the track.
-The car’s velocity at launch is calculated using two different techniques. Why are they different? What is this difference attributed? Write a paragraph to discuss the difference between the velocities and indicate which technique gives an “ideal” velocity and which one gives the “real” velocity.
-Write a paragraph discussing when the car becomes a projectile and then show the equation used to calculate the time of flight (i.e., the time that the car is a projectile).
-Write a paragraph showing the calculations to determine the car’s velocity from the measured ranges in the table above. Show the equations with which you start, with symbols only, and how the equations combine to give an expression for the velocity.
-From the two velocities, and the track length (the distance covered while the car’s tires are in contact with the track), show how to calculate an approximate value for the friction between the track and the tires. Show the equations used and discuss your results. (mass of car:32 grams).
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