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Worksheet: Evaluating the Average Velocity

Q1:

A body, moving in a straight line, travelled 91 m at 8 m/s. Following this, it travelled at 11 m/s in the same direction for a further 13 seconds. Find the average velocity during the whole trip.

Q2:

A body, moving in a straight line, travelled 108 m at 8 m/s. Following this, it travelled at 12 m/s in the same direction for a further 9 seconds. Find the average velocity during the whole trip.

Q3:

A body, moving in a straight line, travelled 90 m at 6 m/s. Following this, it travelled at 12 m/s in the same direction for a further 10 seconds. Find the average velocity during the whole trip.

Q4:

Frank and Matthew 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.

Q5:

Paul and Joe drove 77 miles to Westchester. If it took them 2.2 h to get there, determine, to the nearest integer, the speed at which they were driving.

Q6:

A cyclist travelled 45.5 km from point to point at 52 km/h, and then he travelled a further 38.5 km in the same direction at 44 km/h. Given that is a unit vector in direction, determine the cyclist’s average speed and average velocity during the whole trip.

  • A,
  • B,
  • C,
  • D,

Q7:

A cyclist travelled 36.5 km from point to point at 36.5 km/h, and then he travelled a further 22 km in the same direction at 22 km/h. Given that is a unit vector in direction, determine the cyclist’s average speed and average velocity during the whole trip.

  • A,
  • B,
  • C,
  • D,

Q8:

Given that the table shows the relation between the distance a runner can run and the time it would take him to run that distance, determine how long it would take him to cover a distance of 336 meters.

Time in Seconds0246810
Distance in Meters0816243240
  • A672 s
  • B42 s
  • C84 s
  • D0.01 s
  • E
    1 344
    s

Q9:

The table shows the distance covered by a runner at certain times. How far did the runner travel in the first 86 seconds?

Time in Seconds020406080100
Distance in Meters050100150200250
  • A430 m
  • B2.5 m
  • C215 m
  • D34.4 m
  • E0.03 m

Q10:

A cyclist travelled east at 15 m/s for 15 seconds, and then he stopped to rest for 10 seconds. Then, he moved west at 2 m/s for 75 seconds. Find the cyclist’s average speed for the whole trip.

Q11:

A cyclist travelled east at 8 m/s for 35 seconds, and then he stopped to rest for 10 seconds. Then, he moved west at 3 m/s for 80 seconds. Find the cyclist’s average speed for the whole trip.

Q12:

The graph represents the distance traveled by a speed boat. Use the graph to determine, in miles per hour, the rate of change in distance.

Q13:

The graph represents the distance traveled by a speed boat. Use the graph to determine, in miles per hour, the rate of change in distance.

Q14:

The figure below shows the relation between time and the distance of a cyclist from a fixed point. Using this information, find the magnitude of the average velocity vector of the cyclist.

  • A
  • B
  • C
  • D

Q15:

The figure below shows the relation between time and the distance of a cyclist from a fixed point. Using this information, find the magnitude of the average velocity vector of the cyclist.

  • A
  • B
  • C
  • D