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1. For each change in position, what is the displacement?
a) -8 km to -2 km b) +2 km to -8 km
c) 0 km to +8 km d) -8 km to +20 km
e) +8 km to -8 km
2. An airplane flies 602 m [E] in 2.50 s? What is it velocity? Answer in meters per second
and kilometers per hour.
3. Determine the time it will take an electron to travel 1.0 m if it moves uniformly at a
velocity of 1.3 X 105 m/s.
4. Calgary and Toronto are 4330 km apart. If it takes an airplane 4 h 20 min to travel
between the two cities, what is its average speed
5. A Tsunamis created by an earthquake off the coast of Japan traveled at an average velocity of
800 km/h. How long would it take the first wave to travel the 8200 km to the northern coast
of Australia?
6. For the position-time graph, find the velocity for each section.
7. Determine the time it takes a slap shot to travel 20 m if its average velocity is 51.5 m/s.
8. Find the average velocity for the following intervals.
a) AB b) AD c) BD
9. Given the following graph for a truck moving without turning, determine:
a) the velocity of the truck in each of the intervals.
b) the average velocity of the truck for the whole trip.
10. From the graph, determine:
a) the average velocity from t = 0 to t = 2.5 s.
b) the average velocity from t = 2.5 s to t = 7.5 s.
c) at A, B, and C, the instantaneous velocity.
d) when the instantaneous velocity is zero.
11. From the graph, indicate when
1) uniform velocity occurs.
2) the object is at rest.
3) acceleration occurs.
Determine average velocity for
1) the first 5.0 s
2) the time interval 15 s to 20 s
Determine instantaneous velocity at 3.0 s, 24 s, and 8.0 s.
12. The graph is for an object moving in a straight line either east or west.
a) What is the position of the object at 7.0 s
b) For each distinct section of the graph, describe the motion..
c) What is the average velocity for the entire journey.
d) Find the instantaneous velocity at 13 s.
e) Draw a corresponding velocity-time, and position-time graph.
13. The graph below represents straight-line motion either east or west. Determine
a) the object's displacement after 3.0 s.
b) the change in position between 3.0 and 5.0 s.
c) the total displacement from 0 to 14 s.
d) the average velocity over the first 8.0 s.
e) the position time graph.
14. Calculate the acceleration for each of the labeled intervals.
15. A car moving at 24 m/s [E] accelerates at -2.0 m/s2. What is velocity after 8.0 s?
16. A ball is thrown vertically upwards at 30 m/s. After 2.0 s, and 4.0 s, what is its velocity?
17. An arrow shot upwards at 40 m/s takes how long to return to the Earth? What is its speed upon
striking the ground?
18. Use the graph to calculate
a) the acceleration at 10 s.
b) for 25 s, and 40 s, the instantaneous acceleration.
c) the average acceleration for
1) 0 s to 25 s 2) 30 s to 50 s
19. After falling from rest for 178s, a person's velocity is 62.6 m/s.
a) Calculate the average acceleration?
b) Explain why your answer to part a is not -9.81 m/s2
20. A car travels north or south. Use the graph to determine
a) intervals of uniform velocity.
b) intervals of uniform acceleration.
c) the change in position from t = 0 s to 11 s, and 25 s.
d) the change in position in the 13th second.
e) the acceleration at 4.0 s and from 11 s to 14 s.
f) the instantaneous acceleration at 12.5 s and 22 s?
21. The graph represents a cart's motion as it roles across a level table, up a ramp, and down
again.
a) When is the cart at its highest point?
b) Determine the acceleration when the cart roles up, roles down and stops at the top of
the ramp.
c) How far up the ramp did the cart go?
d) Determine the displacement over the entire trip.
22. A car's motion is described by the following graph.
a) Determine the instantaneous acceleration at 2.0 s, 8.0 s, and 12.0 s.
b) Determine the displacement after 5.0 s, 9.0s, and 13.0 s.
23. A monorail train changes speed from 25 km/h to 35 km/h in 20 s. Find its average acceleration.
24. In order to avoid an accident, a motorist stops her car in 20 s. If the car was moving at
90 km/h, calculate the acceleration.
25. After accelerating from rest for 6.0s, at 2.0 m/s2, a car maintains a constant velocity for 0.50 min.
Finally it takes 5.0 s to come to rest. What is the maximum velocity and total displacement?
26. A hare runs along a straight path with a constant speed of 25 m/s. She passes a sleeping turtle,
which immediately starts to chase the hare with a constant acceleration of 3.0 X10-3 m/s2.
How long does it take the turtle to catch the hare?
27. A car, which is waiting at a traffic light, is overtaken at the instant the light turns green, by a
truck traveling at a uniform speed of 8.5 m/s. At this same instant, the automobile starts with a
constant acceleration of 1.8 m/s2.
a) How far down the road will the automobile overtake the truck?
b) What will be the car's speed when it overtakes the truck?
28. A boy in his wagon starts down a hill with an initial velocity of 1.2 m/s. If the hill is 90 m long,
and the boy reaches the bottom of the hill in 0.50 minutes, calculate his average acceleration , and
his velocity at the bottom of the hill.
29. An electron has an initial velocity of 1.0 X104 m/s. It is electrically accelerated over a distance
of 1.0 cm and has a final velocity of 4.2 X 106 m/s. What is its average acceleration? This
process occurs in television picture tubes.
30. A bullet has a muzzle velocity of 460 m/s. If fired straight up, how high will it rise, and how long
will it take it to reach this point? Neglect air resistance when making your calculations.
31 A stone take 3.0 s to reach the bottom of a cliff when thrown straight down with an initial
velocity of 6.0 m/s. How high Is the cliff?
32. a) In order for a stone to reach a height of 16 m, what velocity must it be thrown up at?
b) For the stone in part a, how long will it take to reach the 16 m height?
November 14, 2013
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