A car accelerates from rest at a rate of 2 m/s². How far does it travel in 5 sec

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Question: A car accelerates from rest at a rate of 2 m/s². How far does it travel in 5 seconds?

Options:

Correct Answer: 25 m

Solution:

Using the formula s = ut + 0.5at², where u = 0, a = 2 m/s², and t = 5 s, we get s = 0 + 0.5 * 2 * 5² = 25 m.

A car accelerates from rest at a rate of 2 m/s². How far does it travel in 5 seconds?

A car accelerates from rest at a rate of 2 m/s². How far does it travel in 5 seconds?

Correct Answer: 25 m

Step 1: Identify the initial speed (u). Since the car starts from rest, u = 0 m/s.
Step 2: Identify the acceleration (a). The problem states that the car accelerates at a rate of 2 m/s², so a = 2 m/s².
Step 3: Identify the time (t). The car accelerates for 5 seconds, so t = 5 s.
Step 4: Use the formula for distance (s) traveled: s = ut + 0.5at².
Step 5: Substitute the values into the formula: s = 0 * 5 + 0.5 * 2 * (5)².
Step 6: Calculate (5)², which is 25.
Step 7: Multiply 0.5 by 2, which gives 1.
Step 8: Multiply 1 by 25, which gives 25.
Step 9: Therefore, the distance traveled by the car in 5 seconds is 25 meters.

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