Problem Set 1
One-Dimensional Motion
Ignore the effects of air resistance in any of the vertical motion. Assume g = ± 9.8 m/s/s unless stated otherwise.
1. A car travels 500.0 m east in 21.0 s and then 350 m west in 28.0 s.
What total distance did it travel?
What is its total displacement?
What is its average speed?
What is its average velocity?
2. Lupert walked 12 m west in 15.8 s, stopped for 4.9 s, and then walked 7.8 m north in 8.9 s.
What total distance did he travel?
What is his total displacement?
What is his average speed?
What is his average velocity?
3. A car traveled east at 35 mph for 1.5 hr and then increased to 45 mph for 3.6 hr.
What total distance did it travel?
What is its total displacement?
What is its average speed?
What is its average velocity?
4. Lupert walked south at 0.8 m/s for 12 s and then turned east and walked at 1.2 m/s for 18 s.
What total distance did he travel?
What is his total displacement?
What is his average speed?
What is his average velocity?
5. Lupert traveled west at 35 mph in his 1972 Gremlin for 2.4 hours before turning south for 3.8 hours at 55 mph.
What distance did he travel?
What is his displacement?
What was his average speed?
What was his average velocity?
6. Lupert walked 5.8 m east in 8.9 s, stopped for 3.7 s, turned north and went 7.9 m in 12.5 s, stopped for 6.3 s, and then went 3.2 m west in 4.7 s.
What distance did he travel?
What is his displacement?
What was his average speed?
What was his average velocity?
7. Lupert jogs for 15 min at 240 m/min, walks the next 10 min at 90 m/min, rests for 10 min, then jogs back to where he started at - 180 m/min.
What was his average velocity?
What was his average speed?
What was his greatest distance from where he started?
8. You are traveling 45 mph in your car when you accelerate at a rate of +4.5 mph/s.
What is your velocity after 5.2 s?
At this rate, how much time is needed to reach a velocity of 95 mph?
9. If a car can go from a velocity of 0 mph to 60 mph in 3.6 s, what is its average acceleration?
10. If a car takes 5.6 s to stop from a velocity of 45 mph, what is its average acceleration?
11. A ball is tossed straight upward with an initial speed of 23 m/s and is later caught at its release position.
How much time was it in the air?
How high did it rise?
What was its velocity and position 3.2 s after release?
12. A ball is thrown straight upward is caught at its release position 3.67 s later.
How high did it rise?
What was its initial speed?
13. A ball is tossed downward so that it lands 24.8 m below in 1.58 s. What was the ball’s initial velocity?
14. A ball is tossed downward with an initial speed of 18.4 m/s. How much time passes before it has dropped 36.2 m?
15. A ball is dropped from rest and hits the ground with a speed of 35 m/s.
How far did it fall?
For what time did it fall?
16. A car traveling along a straight road increased its speed uniformly from 18 m/s to 37 m/s while traveling 146 m.
What was its average acceleration?
How much time passed during this acceleration?
17. An object moving at 67 m/s accelerates at a rate of 3.5 m/s/s until it has traveled 873 m.
How much time passed by?
What was the object’s velocity once it reached this distance?
18. An object accelerated at - 4.8 m/s/s until it reached a velocity of 13.2 m/s.
What was its initial velocity if this took 6.7 s?
How far did the object travel during this time?
19. An auto traveling at 45 mph hits the brakes and uniformly comes to a complete stop in 6.7 s.
What is the average acceleration of the car?
How far (feet) did the car travel while stopping?
20. A car slams on its brakes and uniformly comes to a complete stop in 2.5 s.
What was the car’s average acceleration if it traveled 34 m while stopping?
What was the car’s speed before applying the brakes?
21. You are traveling in your car at 48 mph when you accelerate at a rate of 2.4 mph/s.
How much time is needed to reach a speed of 65 mph?
How far did you travel during this time?
22. A tennis ball is dropped from the top of a tall bridge. How far does it fall from t = 5.0 s to t = 8.0 s?
23. A tennis ball is thrown downward with a speed of 8.6 m/s/s from the top of a tall bridge. How far does it fall from t = 5.0 s to t = 8.0 s?
24. You are standing on a bridge holding a rock over the edge so that the rock is 35 m above the ground below. You release the rock.
How long until the rock reaches the ground below?
How fast is the rock going as it hits?
25. From the same place as in #24, you now toss the rock downward with a speed of 12 m/s.
How long until the rock reaches the ground below?
How fast is the rock going as it hits?
26. From the same location as above, you now toss the rock upward with a speed of 12 m/s.
How long until it reaches the ground below?
How fast is it going as it hits?
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