If a car increases its velocity from zero to 50 m/s in 10 seconds, its acceleration is ___ m/s².
Understand the Problem
The question is asking to calculate the acceleration of a car that increases its velocity from 0 to 50 m/s in 10 seconds. We will solve it using the formula for acceleration, which is the change in velocity divided by the time taken.
Answer
The acceleration is \( 5 \, \text{m/s}^2 \).
Answer for screen readers
The acceleration of the car is ( 5 , \text{m/s}^2 ).
Steps to Solve
- Identify Initial and Final Velocities
Let the initial velocity ( u = 0 , \text{m/s} ) and final velocity ( v = 50 , \text{m/s} ).
- Determine the Time Interval
The time taken ( t = 10 , \text{s} ).
- Use the Acceleration Formula
The formula for acceleration ( a ) is given by:
$$ a = \frac{v - u}{t} $$
- Substitute Values into the Formula
Substituting the known values into the formula:
$$ a = \frac{50 , \text{m/s} - 0 , \text{m/s}}{10 , \text{s}} $$
- Calculate the Result
Calculate the acceleration:
$$ a = \frac{50 , \text{m/s}}{10 , \text{s}} = 5 , \text{m/s}^2 $$
The acceleration of the car is ( 5 , \text{m/s}^2 ).
More Information
Acceleration measures the rate of change of velocity. In this example, the car's velocity increases by ( 50 , \text{m/s} ) over ( 10 , \text{s} ), giving it a steady acceleration.
Tips
- Confusing acceleration with speed: Remember that acceleration refers to the change in speed per unit time, not just the speed itself.
- Incorrectly applying the formula: Ensure to carefully subtract the initial velocity from the final velocity before dividing by time.
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