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Sprint Force and Acceleration

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Sprint Force and Acceleration

Aotearoa’s school athletics squad is comparing sprint-training data. Use ratios to compare quantities, simplify them, and solve the challenges. Show your working where asked.

Read the training data

The squad records how much horizontal force three sprinters apply during a practice start and the acceleration measured in the first second.

Sprinter

Force (N)

Acceleration (m/s²)

Ari

120

3

Moana

160

4

Tane

200

5

1.For Ari, write the ratio of force to acceleration, then simplify it fully.
2.Which ratio compares force to acceleration for all three sprinters in the same way?
  • 40:1
  • 1:40
  • 3:120
  • 120:40
3.Moana’s force is 160 N and her acceleration is 4 m/s². Write the force-to-acceleration ratio in its original form and in simplest form.

Ratios in training plans

The coach sets up start drills using cones, practice runs and recovery time. Use equivalent ratios to plan the session.

4.A start drill uses 2 cones for every 5 practice runs. Complete the equivalent ratio: 6 cones for practice runs.
5.The squad’s training group has 12 sprinters and 8 cyclists. What is the ratio of sprinters to cyclists in simplest form?
6.A practice plan has a work-to-rest ratio of 3:2. If the sprinters run for 9 minutes in total, how many minutes should they rest to keep the same ratio?
7.True or false: The ratios 120:3 and 200:5 are equivalent. Explain briefly.
8.A coach prepares 24 training bands for a group, using a red-to-blue ratio of 1:3. How many red bands and how many blue bands are needed?
9.A sprint team recorded 15 successful starts and 10 false starts. Simplify the ratio of successful starts to false starts, then state how many successful starts there would be for 4 false starts at the same rate.
10.A sprinter’s force and acceleration have a ratio of 40:1. If the force is 240 N, what acceleration corresponds to this ratio?

2 printable pages

  • Sprint Force and Acceleration, page 1 of 2: Read the training data, Ratios in training plans

    Page 1

  • Sprint Force and Acceleration, page 2 of 2: 5. The squad’s training group has 12 sprinters and 8 cyclists. What is the ratio of…

    Page 2

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