1. Today we will:
Use different acceleration equations to solve for displacement, final velocity, initial velocity, and time.
Begin review for test.

2. Constant Acceleration
Sometimes an accelerating object will change its velocity by the same amount each second. This is called constant acceleration.
Constant acceleration ≠ constant velocity

3. Constant Acceleration
Displacement of an object depends on acceleration, initial velocity, and time.
Displacement with constant acceleration equation is:
Δd = ½ (vi + vf ) Δt

4. Constant Acceleration
Ex: A car accelerates uniformly from rest to a speed of 6.6 m/s in 6.5 s. Find the distance the car travels during this time. G: vi = 0 m/s vf = 6.6 m/s Δt = 6.5 s U: d E: Δd = ½ (vi + vf ) Δt S: Δd = ½ (0 m/s m/s) * 6.5 s S: 21 m

5. Constant Acceleration
Final velocity depends on initial velocity, acceleration, and time.
Velocity with constant acceleration equation:
Vf = vi + aΔt
Use this equation to find the final velocity of an object that has accelerated at a constant rate for any time interval.

6. Constant Acceleration
Another way to find the displacement of an object with constant acceleration or to find the displacement required for an object to reach a certain speed or come to a stop:
Δd = ½ vi Δt + ½ a(Δt)2
This equation combines the previous two equations
to solve for d without vf.

7. Constant Acceleration
Final velocity depends on initial velocity, acceleration, and displacement.
By rearranging the first displacement equation, we get:
vf2 = vi2 + 2aΔd
Use this equation for the final velocity after any displacement.