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A cyclist accelerates from rest at a rate of 2 m/s². How far will he travel in 1
A cyclist accelerates from rest at a rate of 2 m/s². How far will he travel in 10 seconds?
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Practice Questions
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Q1
A cyclist accelerates from rest at a rate of 2 m/s². How far will he travel in 10 seconds?
100 m
50 m
200 m
150 m
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Using the formula: distance = ut + 0.5at². Here, u = 0, a = 2 m/s², t = 10 s. Distance = 0 + 0.5 * 2 * 10² = 100 m.
Questions & Step-by-step Solutions
1 item
Q
Q: A cyclist accelerates from rest at a rate of 2 m/s². How far will he travel in 10 seconds?
Solution:
Using the formula: distance = ut + 0.5at². Here, u = 0, a = 2 m/s², t = 10 s. Distance = 0 + 0.5 * 2 * 10² = 100 m.
Steps: 8
Show Steps
Step 1: Identify the initial velocity (u). Since the cyclist starts from rest, u = 0 m/s.
Step 2: Identify the acceleration (a). The problem states that the cyclist accelerates at a rate of 2 m/s², so a = 2 m/s².
Step 3: Identify the time (t). The problem states that the cyclist travels for 10 seconds, so t = 10 s.
Step 4: Use the formula for distance: distance = ut + 0.5at².
Step 5: Substitute the values into the formula: distance = 0 * 10 + 0.5 * 2 * (10)².
Step 6: Calculate (10)², which is 100.
Step 7: Calculate 0.5 * 2 * 100, which equals 100.
Step 8: Conclude that the cyclist will travel 100 meters in 10 seconds.
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