# Worksheet: Speed and Velocity

In this worksheet, we will practice differentiating between velocity and speed and solving problems involving average velocity and average speed.

**Q1: **

If a train is moving at 315 km/h and a car is moving at 750 m/min, which of them has a speed greater than 50 m/s?

- Athe train
- Bboth of them
- Cthe car
- Dnone of them

**Q7: **

A man sprints 100 meters in 11 seconds. Which of the following is most likely to be his top speed?

- A10 m/s
- B10 mph
- C10 m/min
- D10 km/s
- E10 km/h

**Q8: **

A train of length 110 m moving at 180 km/h passed another train of length 190 m. Determine how long it took train to completely pass train , given that train is at rest.

**Q12: **

Express 119.7 km/h in meters per second.

**Q13: **

Express 36 m/min in centimeters per second.

- A60
- B
- C
- D3,600

**Q15: **

A car moves with a velocity of 20 m/s towards east for 30 seconds. Then, it stops for 30 seconds. Finally, it moves with a velocity of 10 m/s towards west for 20 seconds. The average speed of the car during the whole trip is m/s.

- A20
- B11.25
- C10
- D5

**Q16: **

The distance between two warplanes is 30 km, and they are flying at the same speed. If the plane at the back fires a missile with a speed of 450 km/h, then the missile will hit the plane at the front after minutes.

- A2
- B1
- C3
- D4

**Q17: **

If a car moves with a uniform velocity of magnitude 72 km/h for 45 min, then the distance covered during this period of time measured in kilometers is .

- A15
- B54
- C36
- D10

**Q18: **

If a plane moves with a velocity of 200 km/h due north for three hours, then with a velocity of 150 km/h due west for a distance of 300 km, then the average speed of the whole journey is km/h.

- A180
- B70
- C160
- D275

**Q19: **

A car moves a distance of 60 km with a uniform speed of 60 km/h; then, it moves in the same direction for 100 km with speed . If the average speed of the whole trip is 80 km/h, then .

- A120
- B90
- C60
- D100

**Q20: **

If a body moves in a straight line from a fixed point such that its position vector , where is a unit vector parallel to the straight line, then the average velocity from the beginning of the motion after seconds is .

- A
- B
- C
- D

**Q21: **

A car covered a distance of 60 km in one hour, then stopped for half an hour, then moved again a distance of 40 km in the same direction over one hour. Therefore, the average velocity equals km/h.

- A100
- B50
- C40
- D60

**Q22: **

The driver of car A is moving in a straight line with uniform velocity. He notices car B coming in the opposite direction, and car B seems to be moving with a velocity of 150 km/h. He also notices car C moving in front of him in the same direction, and it seems to be going away with a velocity of 50 km/h. Therefore, the magnitude of the relative velocity of car B to that of car C .

- A50
- B200
- C150
- D100

**Q23: **

Two cars A and B are moving in opposite directions with velocities of 65 km/h and 75 km/h respectively. If the distance between the two cars is 210 km, then the time taken until the two cars meet is .

- A hours
- B40 minutes
- C90 minutes
- D2 hours