# Worksheet: Velocity

In this worksheet, we will practice finding velocity as the rate of change of displacement, explaining the similarities and differences between speed and velocity.

**Q4: **

What is the average westward velocity of an object that moves 11 m to the west in a time of 0.25 s?

**Q5: **

What is the average eastward velocity of an object that moves 6 m east and 2 m west in a total time of 0.75 s? Answer to one decimal place.

**Q6: **

A cyclist joins an east-west road and travels a distance of 240 m east at a speed of 12 m/s. He then immediately turns around and travels a distance of 96 m west at the same speed that he traveled east at and then stops to dismount his bike.

What is the total time for which the cyclist moves?

What is the cyclist’s average velocity to the east from when he joins the road to when he dismounts? Give your answer to two decimal places.

**Q8: **

A person is late for an appointment at an office that is at the other end of a long straight road to his home. He leaves his house and runs toward his destination for a time of 45 seconds before realizing that he has to return home to pick up some documents that he will need for the appointment. He runs back home at the same speed he ran at before and spends 185 seconds looking for the documents and then runs toward his appointment again. This time, he runs at 5.5 m/s for 260 seconds and then arrives at the office.

How much time passes between the person first leaving his house and arriving at his appointment?

What is the distance between the person’s house and his office?

What is the person’s average velocity between first leaving his house and finally arriving at the office? Give your answer to two decimal places.

**Q9: **

A child kicks a ball and it moves along a horizontal ground toward a wall 2 m away. The ball moves at 2.25 m/s toward the wall, hits the wall, and bounces half the distance straight back to the child, moving only at an average speed of 1.75 m/s after hitting the wall.

What was the total distance the ball moved?

What was the ball’s net displacement toward the wall?

How much time did the ball move for? Give your answer to two decimal places.

What was the ball’s average speed during its motion, to the nearest meter per second?

What was the ball’s average velocity toward the wall from when the ball was kicked to when it rolled back from the wall and came to a stop? Give your answer to two decimal places.

**Q10: **

A drone flies along a triangular path that starts from and returns to a point , as shown in the diagram, initially heading north. The drone’s speed is a constant 1.5 m/s when traveling north. The drone completes its eastward travel in the same time that it takes it to complete its northward travel. On the last part of its travel, the drone moves diagonally at a constant speed that has the average value of its northward speed in the first part of its travel and its eastward speed in the second part of its travel.

What is the drone’s net displacement from the start of its motion to the end of its motion?

How fast does the drone move eastward in the second part of its travel?

How fast does the drone move westward in the last part of its travel? Round your answer to two decimal places.

How fast does the drone move southward in the last part of its travel? Round your answer to two decimal places.

**Q11: **

A fish swims a distance of 15 m to the left at an average speed of 2 m/s and then immediately turns around and swims half this distance to the right. The time that passes while all this occurs is 12 s, as shown in the diagram. In this question, consider displacement to the left as positive.

What is the displacement of the fish from its starting point 12 s after it starts moving?

For how long does the fish swim to the left?

What is the fish’s average velocity while it moves to the right? Answer to one decimal place.

What is the average velocity of the fish over the 12 s that the fish moves for?

**Q12: **

A child kicks a ball and it moves along a horizontal ground toward a wall 2 m away. The ball moves at 2.25 m/s toward the wall, hits the wall, and bounces half the distance straight back to the child but moving only at an average speed of 1.75 m/s after hitting the wall.

What total distance did the ball move?

What was the ball’s net displacement toward the wall?

How much time did the ball move for? Give your answer to two decimal places.

What was the ball’s average speed during its motion to the nearest meter per second?

What was the ball’s average velocity toward the wall from when the ball was kicked to when it had rolled back from the wall and come to a stop? Give your answer to two decimal places.

**Q13: **

The displacement of an object with time is shown in the graph.

What is the object’s average velocity between s and s?

What is the object’s velocity at the instant s?

What is the object’s average velocity between s and s?

What is the object’s velocity at the instant s?

What is the object’s velocity at the instant s?

What is the object’s average velocity between s and s?

What is the object’s velocity at the instant s?

What is the object’s velocity at the instant s?

- A0.72 m/s
- B1 m/s
- C1.4 m/s
- D4 m/s
- E9 m/s

**Q14: **

Two cars are racing on a straight track. The winner car has an average velocity of 180 m/s, while the other car has an average velocity of 144 m/s and reaches the finish line 5 seconds after the winner. Find the length of the track.

- A3,600 m
- B4,500 m
- C2,160 m
- D2,880 m

**Q15: **

A car is moving from point A to point D as shown in the diagram below. The car moves from A to B in 100 s, then from B to C in 40 s, and then from C to D in 60 s. Calculate the average velocity of the car.

- A30 m/s
- B60 m/s
- C11 m/s
- D19 m/s

**Q16: **

Calculate the average velocity of a car which moved in a straight line a distance of 120 m with a velocity of 8 m/s and then moved in the same direction on the same line a distance of 180 m with a velocity of 6 m/s.

- A7 m/s
- B6.3 m/s
- C6.7 m/s
- D7.2 m/s

**Q17: **

An object is moving according to the relation , where is the displacement of the object. Calculate its average velocity between and .

- A5.6 m/s
- B30.3 m/s
- C47.3 m/s
- D37.3 m/s

**Q18: **

Two athletes are running in opposite directions in a straight line with an equal velocity of 35 km/h. If the distance between them is 700 m, after how many seconds will the two athletes meet?

- A54 s
- B72 s
- C36 s
- D20 s

**Q19: **

A person walks for three hours on a straight road. He moves a distance of 5 km during the first two hours and a distance of 1.6 km during the third hour. Calculate his average velocity during the trip.

- A1.1 km/h
- B4.1 km/h
- C2.05 km/h
- D2.2 km/h

**Q20: **

A man walked 6 km in the direction of the east in 1.2 h. Then, he turned and walked 8 km in the direction of the north in 2 h. Calculate the magnitude of the average velocity of the man.

- A2.2 km/h
- B4.5 km/h
- C3.8 km/h
- D3.1 km/h

**Q21: **

A car was moving on a straight road for five hours with an average velocity of 80 km/h. During the first three hours, the car was moving with a velocity of 92 km/h, and for the rest of the trip, it was moving with a velocity . Calculate the velocity of the car.

- A68 km/h
- B62 km/h
- C110 km/h
- D72 km/h

**Q22: **

The graph below represents the displacement of a car with time. Calculate the average velocity of the car.

- A2 m/s
- B1 m/s
- C16.7 m/s
- D33.3 m/s