Topic 1 Velocity

Define (a) average velocity (b) instantaneous velocity (c) average of velocities. When is the average velocity the average of velocities?

Topic 2 Acceleration

(a) Define acceleration.

(b) Compare velocity and acceleration. (How are they the same? How different?)

Topic 3 Uniform Acceleration

Derive: (Hint: Start with definitions of velocity and acceleration and the fact that, if acceleration is constant, average velocity is the average of velocities.)

(a) Galileo's law of odd numbers for an object undergoing uniform acceleration from rest.

(b)

(c)

Topic 4 Projectiles

(a) In what sense can an object have both constant velocity and constant acceleration?

(b) Show that on level ground , the range of a projectile is 

(c) How do you find the range of a projectile on other than level ground?

Examples

1) A Matchbox Car rolls a distance d down a ramp with an acceleration of
g Sin α
Find: (a) How long does it take to get there? (b) How fast is it going when it gets there?

 2) A tennis ball bounces from the floor to a height h and travels a horizontal distance d before the second bounce.
Find: (a) How much time elapses between the first and second bounce? (b) With what velocity does the ball leave the floor after the first bounce? (c) With what velocity does the ball approach the floor on the second bounce? (Hint: Neglecting friction, the answers to (b) and (c) are similar but not the same.)

Textbook Problems

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