To solve these problems, we’ll use the formula for acceleration:
a = Δv / Δt, where
Δv = v_final - v_initial
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Problem 1:
Sprinter starts at 10 m/s, ends at 11.2 m/s, time = 3.6 seconds.
Step 1: Find change in velocity (Δv)
Δv = 11.2 m/s - 10 m/s =
1.2 m/s
Step 2: Divide by time
a = 1.2 m/s ÷ 3.6 s =
0.333... m/s²
We can round to two decimal places:
0.33 m/s²
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Problem 2:
Skier starts from rest → initial velocity = 0 m/s
Final velocity = 16.6 m/s
Time = 9 seconds
Step 1: Δv = 16.6 m/s - 0 m/s =
16.6 m/s
Step 2: a = 16.6 ÷ 9 =
1.844... m/s²
Rounded to two decimal places:
1.84 m/s²
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Problem 3:
Mass = 7.2 kg
Acceleration = 1.7 m/s²
Use F = ma
F = 7.2 × 1.7 = ?
Let’s calculate:
7 × 1.7 = 11.9
0.2 × 1.7 = 0.34
Total = 11.9 + 0.34 =
12.24 N
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Final Answer:
1. 0.33 m/s²
2. 1.84 m/s²
3. 12.24 N
Parent Tip: Review the logic above to help your child master the concept of acceleration calculations worksheet.