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

Q2:

David and Benjamin drove 94 miles to Westchester. If it took them 1.8 h to get there, determine, to the nearest integer, the speed at which they were driving.

Q3:

The given table shows the relation between the distance covered by a runner and a certain time. Determine the slope of the straight line that represents the motion of the runner.

Time in Seconds0246810
Distance in Metres0816243240

Q4:

What distance would a car traveling at 171 km/h for 38 min cover?

Q5:

How long would it take a car traveling at 5 m/s to cover a distance of 38.7 km?

Q6:

Determine the distance a car moving at 153 km/h covers in 14 hours.

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

Q9:

Express 333 km/min in meters per second.

Q10:

Express 39 m/s in kilometers per hour.

Q11:

What is 58 m/min in metres per second?

  • A3029 m/s
  • B3,480 m/s
  • C2915 m/s
  • D2930 m/s

Q12:

Express 119.7 km/h in meters per second.

Q13:

Express 36 m/min in centimeters per second.

  • A60
  • B35
  • C1085
  • D3,600

Q14:

What distance would a car traveling at 183 km/h for 15 min cover?

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 𝑣. If the average speed of the whole trip is 80 km/h, then 𝑣=/kmh.

  • A120
  • B90
  • C60
  • D100

Q20:

If a body moves in a straight line from a fixed point such that its position vector re=𝑡+2𝑡+5, where e is a unit vector parallel to the straight line, then the average velocity from the beginning of the motion after 𝑡 seconds is .

  • A𝑡+2+5𝑡e
  • B𝑡+2e
  • C𝑡+2e
  • D3𝑡+2e

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 =/kmh.

  • 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 .

  • A114 hours
  • B40 minutes
  • C90 minutes
  • D2 hours

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