Acceleration is the rate of change In velocity

Acceleration is the rate of change In velocity

Velocity and Acceleration vi + + + or 0 a + + 0 - Or + 0 0 Motion Speeding up Slowing down Constant Speeding up from rest Remaining at rest

Average acceleration is the Change in velocity during some Measurable time interval. vf – v i Δv a= = tf – t i Δt The SI unit for acceleration is m/s 2

A sprinter begins a race at 0. 0 m/s And finished at 4. 0 m/s. He does This in a time of 8 s. What is his acceleration? 0. 5 m/s 2

Instantaneous acceleration is The change in velocity at An instant of time. A velocity-time graph is a graph That show velocity on the y-axis and time on the x-axis.

The slope of a V-T graph will Give you acceleration.

There a bunch of new formulas That can be found by deriving Them from the two basic formulas That we already know.

Displacement with Constant Acceleration ΔX = ½ (vi +vf)Δt

A racing car reaches a speed of 42 m/s. It then begins a uniform Negative acceleration, using its Parachute and brakes, and comes To a stop 5. 5 s later. Find how far The car moves while stopping. 120 m

Velocity with Constant Acceleration vf = vi + aΔt Displacement with Constant Acceleration Δx = viΔt + ½a(Δt)2

A plane starting at rest at one end Of a runway undergoes a constant Acceleration of 4. 8 m/s 2 for 15 s Before takeoff. What is its speed at Takeoff? How long must the Runway be for the plane to Take off? 72 m/s 540 m

Final Velocity after Any displacement vf 2 = vi 2 + 2 aΔx

A babysitter pushing a stroller Starts from rest and accelerates At 0. 500 m/s 2. What is the Velocity of the stroller after it Has traveled 4. 75 m? 2. 18 m/s

Equations for constantly Accelerated straight line motion Form to use when accelerating object has initial velocity. Form to use when accelerating object starts from rest. Δx = ½ (vi +vf)Δt Δx = ½(vf)Δt vf = vi + aΔt vf = a(Δt) Δx = viΔt + ½a(Δt)2 Δx = ½a(Δt)2 vf 2 = vi 2 + 2 aΔx vf 2 = 2 aΔx

Free fall is the motion of an Object falling with a Constant Acceleration due To gravity.

All free falling bodies undergo A uniform acceleration Of 9. 81 m/s 2. This acceleration, a, is given The new symbol, g.

A construction worker accidentally Drops a brick from a high scaffold. What is the velocity of the brick After 4 seconds? How far does the Brick fall during this time? 39 m/s 78 m