A.  Motion, Speed, and Velocity

1.  (I) A rabbit is at a position x = 3 m, sometime later the rabbit is at a position x = 40 m. What is the displacement of the rabbit?

2.  (I) Connor leaves his house at position x = 0 m to walk to the store at position x = 150 m. After visiting the store, Connor walks to his friend’s house at position x = -30 m.

a.  Did Connor pass his house on his way to his friend’s house?

b.  What was the distance traveled by Connor on his walk?

c.  What was Connor’s displacement on his walk?

3.  (I) A runner travels a distance of 400 m in a time of 65 s. What is the average speed of the runner?

4.  (I) A girl on a bicycle traveling at a constant speed of 8 m/s. How long will it take her to ride 240 m?

5.  (II) Concord is 35 km from MPHS. Patrick leaves school at 3:00 and reaches Concord at 3:20. What is Patrick’s average speed in km/h? m/s?

6.  (II) While traveling on an interstate highway Rebecca sets her cruise control at 90 km/h. How far will she travel in 50 minutes?

7.  (II) A dog is playing in the park. The dog starts at position x1 = 5 m and runs to position x2 = 30 m in a time of 10 s. The dog then runs to x3 = -20 m in 30 s.

a.  Calculate the dog’s average speed from x1 to x2.

b.  Calculate the dog’s average speed from x1 to x3.

c.  Calculate the dog’s average velocity from x1 to x3. What is the direction of the dog’s average velocity?

8.  (I) You are walking at a constant velocity of 2 m/s to the left while riding on a train that is moving at 12 m/s to the right.

a.  What is your velocity relative to the train?

b.  What is your velocity relative to the ground?

1.  37 m / 2.  a. yes b. 330 m c. -30 m / 3.  6.154 m/s / 4.  30 s
5.  105.0 km/h or 29.17 m/s / 6.  75.00 km or 7.500 x 104 m / 7.  a. 2..500 m/s b. 1.875 m/s c. -0.6250 m/s, left / 8.  a. 2.000 m/s left b. 10.00 m/s right

B.  Accelerated Motion (Horizontal)

1.  (I) A car starts from rest and reaches a speed of 42 m/s over a 7.0 s period. What is the car’s acceleration?

2.  (I) What rate of acceleration is needed for an object to increase it speed from 32 m/s to 96 m/s in 8.0 seconds?

3.  (I) A car moving at 20 m/s is accelerated uniformly at a rate of 1.6 m/s2 for 6.8 s. What is the speed of the car at the end of the 6.8 s time period?

4.  (II) A car comes to a stop after a uniform deceleration of 9.0 m/s2 for 8.0 s. What distance is traveled by the car during this time?

5.  (II) During takeoff a plane (initially at rest) travels a distance of 500 m while being accelerated at a rate of 5.0 m/s2. What is the speed of the plane at takeoff?

6.  (II) Determine the displacement of a plane as it is accelerated from 66 m/s to 88 m/s in 12 s.

7.  (II) A rocket powered sled can start from rest reach a speed of 444 m/s in 1.80s and be brought to a stop again in 2.15 s.

a. What is the acceleration of the sled when starting?

b. What is the acceleration of the sled when braking?

1.  6.000 m/s2 / 2.  8.000 m/s2
3.  30.88 m/s / 4.  288.0 m / 5.  70.71 m/s / 6.  924 m / 7.  a. 246.7 m/s2 b. −206.5 m/s2

C.  Accelerated Motion (Free Fall)

1.  A student drops a stone from a bridge 120 m high.

a.  With what velocity does the stone strike the water below?

b.  How long does it take the stone to reach the water below?

2.  (I) A stone starts from rest and falls freely for 8.0 s.

a.  Calculate the speed of the stone at the end of the 8 s.

b.  What distance does the stone travel during this time?

3.  (II) A weather balloon is floating at a constant height above the ground when it releases a pack of instruments.

a.  If the pack hits the ground at a speed of 73.5 m/s, what is the height of the balloon?

b.  How long does it take the pack to fall from the balloon to the ground?

4.  (II) A wrench falls from a helicopter rising at a constant speed of 6.0 m/s.

a.  After 2 s, what is the velocity of the wrench?

b.  After 2 s, how far below the helicopter is the wrench?

5.  (II) An arrow is shot straight up from a height of 1.50 m with an initial speed of 45 m/s.

a.  How long before the arrow reaches its maximum height?

b.  What is the maximum height the arrow reaches?

c.  What is the velocity of the arrow when it returns to the point where it was launched?

d.  How long after launch does the arrow returns to its original height?

1.  a. −48.50 m/s
b. 4.949 s / 2.  a. 78.4 m/s
b. 313.6 m / 3.  a. 275.6 m
b. 7.50 / 4.  a. −13.60 m/s b. 19.60 m below the helicopter / 5.  a. 4.592 s b. 104.8 m c. -45 m/s d. 9.184 s

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