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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:

Daniel and James 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:

Liam and Jacob 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 Seconds 0 2 4 6 8 10
Distance in Meters 0 8 16 24 32 40
  • A 0.01 s
  • B
    1 344
    s
  • C 42 s
  • D 84 s
  • E 672 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 Seconds 0 20 40 60 80 100
Distance in Meters 0 50 100 150 200 250
  • A 34.4 m
  • B 0.03 m
  • C 2.5 m
  • D 215 m
  • E 430 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

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