A cyclist accelerates from rest at a rate of 2 m/s². How far will he travel in 1

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Question: A cyclist accelerates from rest at a rate of 2 m/s². How far will he travel in 10 seconds?

Options:

Correct Answer: 100 m

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.

A cyclist accelerates from rest at a rate of 2 m/s². How far will he travel in 10 seconds?

A cyclist accelerates from rest at a rate of 2 m/s². How far will he travel in 10 seconds?

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.

Kinematics – The study of motion, specifically how objects move under the influence of forces, including concepts like acceleration, velocity, and distance.
Equations of Motion – The use of mathematical formulas to relate distance, initial velocity, acceleration, and time in uniformly accelerated motion.