200 likes | 225 Views
Chapter 2 Accelerated Motion. Acceleration. Acceleration is the rate of change In velocity. Velocity and Acceleration. Average acceleration is the Change in velocity during some Measurable time interval. v f – v i t f – t i. Δ v Δ t. a =. =. The SI unit for acceleration is
E N D
Chapter 2 Accelerated Motion
Acceleration Acceleration is the rate of change In velocity
Average acceleration is the Change in velocity during some Measurable time interval. vf – vi tf – ti Δv Δt a = = The SI unit for acceleration is m/s2
Problems... A sprinter begins a race at 0.0 m/s And finished at 4.0 m/s. He does This in a time of 8s. What is his acceleration? 0.5 m/s2
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.
3.2 Motion with Constant Acceleration There are 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
Problems... 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 5.5s 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
Problems... A plane starting at rest at one end Of a runway undergoes a constant Acceleration of 4.8 m/s2 for 15s 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 vf2 = vi2 + 2aΔx
Problems... A babysitter pushing a stroller Starts from rest and accelerates At 0.500 m/s2. 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
3.3 Free Fall 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/s2. This acceleration, a, is given The new symbol, g.
Problems... 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? 78 m 39 m/s