# Linear Acceleration

Author:
Matt Dyck
Topic:
Vectors
Acceleration is defined as the rate of change of velocity. We can see that a new velocity v can be found by adding to the original velocity . In this simulation, the velocity at any time, the instantaneous velocity, is represented by a black arrow. The acceleration is show by a red arrow. ( a red dot or block dot means the value is 0). The scale on the x axis is velocity in the x-direction. It is originally set to 1.0 m/s (hit reset app icon at top right) and is therefore 1 unit on the x-axis.

1. Set the velocity to 1.0 m/s and the acceleration to 0 . Click the start button. What happens to the velocity?

2. Set the acceleration to + 1.0 . Notice the acceleration vector is 1 unit long now as well. Acceleration is the change in velocity per unit of time. If we move time forward by 1.0 s. The velocity(vel) vector should become 1.0 m/s longer. Try it.

3. ﻿Try without the applet first, then check. a. ﻿What will happen to the length of the red acceleration vector if you increase a to +2? b ﻿What will happen to the length of the black velocity vector after 1.0 s? c. ﻿What will happen to the length of the black velocity vector after 4.0 s?﻿

2. Set the acceleration to +2.0 m/s2 and keep the initial velocity at 1.0 m/s. How much will the velocity change after 1.0 s, 2.0 s, 3.5 s? (Hint: acceleration is the change in velocity per second)

4. Keep the acceleration at 2.0 m/s2 and change the initial velocity to -2.0 m/s. a. ﻿What will be the length of the acceleration vector? What direction will it be pointing? b. ﻿What will be the length of the black velocity vector after 1.0 s? c. ﻿What will be the length of the black velocity vector after 3.0 s?

5. A car travelling at 10.0 m/s East accelerates at 5.0 m/s2 East. How much will the velocity change in 3.0 s?

﻿6. A car travelling at 10.0 m/s East accelerates at 5.0 m/s2 East. What will be the velocity after 3.0 s?

7. A car travelling at 10.0 m/s West accelerates at 5.0 m/s2 East. What will be the velocity after 3.0 s?