1. [1 Mark] You are given a position versus time graph. What physical quantity is given by the slope of a line tangent to the curve at time t?
   

2. [1 Mark] You are given a velocity versus time graph. What physical quantity is given by the slope of a line tangent to the curve at time t?
   

3. [2 Marks] When would v = 0 for a object in one dimension? Give examples.
   

4. [2 Marks] If an object, moving in a straight line, has a negative velocity and its speed is decreasing, what is the sign of its acceleration? Explain.
   

5. [2 Marks] A rifle fires a bullet horizontally over level ground. At the same instant that the bullet leaves the gun, a second bullet is dropped from the same height as the muzzle of the gun. Which is correct: (i) the bullet from the gun will hit the ground first, or (ii) the dropped bullet will hit the ground first, or (iii) both bullets hit the ground at the same time? Explain.
   

6. [2 Marks] A person springs off a trampoline and bounce 2.0 m up into the air. At the top of the jump, he has zero velocity. Is he accelerating at that point? Explain.
   

7. [2 Marks] A ball is thrown into the air. On its way up and on its way down it passes point H. How does the velocity of the ball compare in these two cases? Explain.
   

   

8. [2 Marks] In the d versus t graph below, is the velocity ever negative? Explain.
   
   

9. [2 Marks] Is it possible for an object to have zero velocity but nonzero acceleration? Explain with examples
   

10. [6 Marks] For the following position versus time graphs, state whether a > 0, a < 0, or a = 0.
    
    

11. [10 Marks] A plane can fly with a speed of 150 km/h relative to the air. On a windy day, with a wind of 35 km/h due east, the pilot wants to fly to an airfield which is due North of his present location.
    (a) In what direction should the pilot point the plane to fly directly to his destination?
    (b) What will be the plane's speed over the ground?
    (c) If the airfield is 250 km away, how long will it take the pilot to get there?
    

12. [10 Marks] A person leans over a balcony railing and throws a ball straight upwards at a speed of 7.00 m/s. The ball eventually hits the ground 5.00 m below the height at which it was thrown.
    (a) Find the height of the ball 0.90 s after its leaves the person's hand.
    (b) Find the time the ball is in the air until it hits the ground.
    (c) Find the velocity of the ball just before it hits the ground.
    

13. The diagram below represents the velocity (v in m/s) as a function of time (t in seconds) of a ball moving in a straight line.
    (a) For each of the segments, find the average velocity in that segment.
    (b) For each of the segments, find the acceleration in that segment.
    (c) For each of the segments, find displacement in each segment.
    (c) Does the ball ever turn around? If so when?
    
    

Formulas

Kinematics

		vaverage = ½(vf+v0)
Δx = vaveraget	Δx = v0t + ½at2	v = v0 + at
		g = 9.81 m/s2

Newton's Laws

ΣFx = max

ΣFy = may

fmax static = μsN

fkinetic = μkN

Quadratic Formula

if ax²+bx+c = 0, then

Questions? mike.coombes@kpu.ca