1. Mathematical Problems
  1. (I) During a canoe race, a camper paddles 353 m in the first 50.0 s then paddles an additional 53 m in 20.0 s. What is the average speed in m/s and km/h?
  1. (I) A rocket launched into outer space travels 2.4 x 105 km during the first 6.0 hours after launching. What is the average speed of the rocket in m/s?
  1. (I) An electron takes 1.6 x 10-3 s to travel through a vacuum tube at a constant speed of 1300 m/s. What is the length of the vacuum tube?
  1. (II) Light from the sun reaches the earth in 8.3 minutes. The speed of light is 3.0 x 108 m/s. In kilometers, how far is the earth from the sun?
  1. (I) What is the acceleration of a racing car if its speed is decreased from 66 m/s to 44 m/s over an 11 s period?
  1. (I) How long does it take a train moving at a speed of 15 m/s to accelerate uniformly to 45 m/s at a rate of 2.5 m/s2?
  1. A car starts from rest and accelerates at a constant rate a reaching a velocity of v at the end of a time period t. Which of the following statements are true?
  1. The acceleration a must be greater than the final velocity v.
  2. The average velocity of the car during t is EXACTLY v/2.
  3. The average velocity of the car during t is GREATER than v/2.
  4. The final velocity of the car v will be EXACTLY a times t.
  5. I only
  6. IV only
  7. III only
  8. II and IV
  9. I, II, and IV
  1. (I) A bullet leaves the muzzle of a rifle in a direction straight up with a speed of 700 m/s. Ten (10.0) seconds later, its speed is only 602 m/s. At what rate does the earth’s gravitational field slow the bullet?
  1. (II) A car traveling at 44 m/s is uniformly accelerated to a speed of 22 m/s over an 11 s period. What distance does the car travel during this time?
  1. (II) A rocket traveling at 88 m/s is accelerated to 132 m/s. How long does it take to travel 660 m?
  1. (II) An engineer is designing a runway to accommodate airplanes that must gain a ground speed of 60.0 m/s before they can take off. If the planes are capable of being accelerated at 1.5 m/s2, how much time will be required for the planes to reach 60.0 m/s? How long must the runway be?
  1. (II) The Tokyo Express is accelerated from rest for 1.0 minute while traveling 1800 m. At what rate did it accelerate?
  1. (II) A box falls off of a tailgate and slides along the street for a distance of 62.5 m. Friction slows the box at –5.0 m/s2. At what speed was the truck traveling when the box fell?
  1. (II) A wrench falls from a helicopter rising at a constant speed of 6.0 m/s.
  2. After 2 s, what is the velocity of the wrench?
  3. After 2 s, how far below the helicopter is the wrench?
  4. (III) A driver going 90 km/h suddenly sees the lights of a barrier 40.0 m ahead. It takes the driver 0.75 s before he applies the brakes and the average acceleration during braking is -10.0 m/s2.
  5. Does the car hit the barrier?
  6. How fast could the car be moving and not hit the barrier?
  1. (II) An arrow is shot straight up from a height of 1.50 m with an initial speed of 45 m/s.
  2. How long before the arrow reaches its maximum height?
  3. What is the maximum height the arrow reaches?
  4. What is the velocity of the arrow when it returns to the point where it was launched?
  5. How long after launch before the arrow returns to its original height?

1)5.80 m/s; 20.9 km/h / 2)11,000 m/s / 3)2.1 m / 4)1.5 x 108 km
5)-2.00 m/s2 / 6)12 m/s / 7)d / 8)-9.8 m/s2
9)360 m / 10)6.00 s / 11)40 s; 1200 m / 12)1.0 m/s2
13)25 m/s / 14)a. -14 m/s b. 20 m below / 15)a. yes b. 22 m/s
16)a. 4.59 s b. 103 m
c. -45.0 m/s d. 9.18 s / 17) / 18)

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