The Constant Acceleration Equations Just when you think

The Constant Acceleration Equations Just when you think you’ve got a handle on the graphical analysis of motion, we learn there’s an easier, algebraic way to find the same information about objects in motion! Use the Constant Acceleration Equations u able to be used any time an object undergoes constant acceleration u deal with the 5 physical quantities we’ve been working with so far Δt Δx vi vf and a u But each eq’n only contains 4 of these 5 variables Watch….

Constant Acceleration Equations missing variable? u v f = v i + a Δt u Δ x = v i Δ t + ½ a Δ t 2 vf u Δ x = v f Δ t - ½ a Δ t 2 vi u vf 2 = vi 2 + 2 a Δx Δt Δx = (vi + vf) Δt 2 a u Δx To use these equations, you will be given a problem that contains 3 given pieces of information and 1 unknown so that 1 of the 5 variables is completely left out: choose the equation that is missing that ignored variable. Try some…

Ex 1. A car, headed north at 28 m/s, accelerates at a constant rate so that in 5. 3 s it was going 52 m/s. Determine the car’s displacement in this time. 212 m, North

Ex 2. A motorcycle going west ends up traveling at 47 m/s after having sped up at a rate of 1. 7 m/s each second over 184 m in the same direction. Determine its starting velocity. 39. 8 m/s, West

Ex 3. A ball is shot up a frictionless ramp out of a toy gun that releases it at the bottom with a speed of 3. 6 m/s. If it takes the ball 5 s to return to the release point assumingly with the same speed, determine the rate of acceleration it experienced while on the ramp. loses 1. 44 m/s each sec as it rolls up & gains 1. 44 m/s each sec as it rolls down