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UNIT III- UNIFORMLY ACCELERATING PARTICLE MODEL

INSTRUCTIONAL GOALS

1.  Thoroughly explain concepts of acceleration, average vs instantaneous velocity

Contrast graphs of objects undergoing constant velocity and constant acceleration

Define instantaneous velocity (slope of tangent to curve in x vs t graph)

Distinguish between instantaneous and average velocity

Define acceleration, including its vector nature

Motion map now includes acceleration vectors

2.   Provide multiple representations of acceleration (graphical, algebraic, diagrammatic)

position vs. time (slope of tangent = instantaneous velocity)

velocity vs. time (slope = acceleration, area under curve = change in position)

acceleration vs. time (area under curve = change in velocity)

3.   Uniformly Accelerating Particle model

Derive the following relationships from experimentation, x vs t graphs, v vs t graphs, and equation manipulation.

Eq. 1    definition of average acceleration

Eq. 2    linear equation for a v-t graph

Eq. 3    generalized equation for any ti to tf interval

Eq. 4    parabolic equation for an x-t graph

Eq. 5    generalized equation for any ti to tf interval

4.   Analysis of free fall  Home Work Problems Due Nov 3

• Problems for Physics 2 (Pd 3 & 4)

10. A car accelerates uniformly from rest to 6.6 m/s in 6.5 seconds. Find the distance the car traveled during this time.

11. When Maggie applies the brakes of her car, the car slows uniformly from 15.00 m/s to 0.00 m/s in 2.50 s. How many meters before a stop sign must she apply her brakes?

12. A car enters a freeway with a speed of 6.5 m/s and accelerates to a speed of 24 m/s in 3.5 min. How far does the car travel while it is accelerating?

13. A car traveling at 7.0 m/s accelerates at the rate of 0.80 m/s2 for 2.0 s. What is the final velocity of the car?

14. A snowmobile has an initial velocity of 3.0 m/s. a. If it accelerates at a rate of 0.50 m/s2 for 7.0 seconds, what is the final velocity? b. If it slows down at a rate of 0.60 m/s2, how long will it take to come to a complete stop?  