A car accelerates uniformly from rest(u=0) to 20 m/s(v) in 5 seconds(t). What is its acceleration?

EQUATION: v = u + at

The equation you're using is:

\[
v = u + at
\]

Where:
- \( v = 20 \, \text{m/s} \) (final velocity),
- \( u = 0 \, \text{m/s} \) (initial velocity, since the car starts from rest),
- \( t = 5 \, \text{seconds} \) (time),
- \( a \) is the acceleration (which we need to find).

Now, plug the values into the equation:

\[
20 = 0 + a \times 5
\]

Simplify:

\[
20 = 5a
\]

Solving for \( a \):

\[
a = \frac{20}{5} = 4 \, \text{m/s}^2
\]

So, the car's acceleration is **4 m/s²**.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What would the acceleration be if the final velocity was 30 m/s in 5 seconds?
2. How would the time change if the acceleration was doubled?
3. What distance would the car have traveled during the 5 seconds?
4. How would the acceleration change if the car started with an initial velocity of 5 m/s?
5. How can you calculate the car's average velocity during the acceleration?

**Tip:** When dealing with constant acceleration, it's often useful to also apply other kinematic equations to find quantities like distance or average velocity.

A car accelerates uniformly from rest(u=0) to 20 m/s(v) in 5 seconds(t). What is its acceleration?

Learn how to find the acceleration of a car that accelerates uniformly from rest to 20 m/s in 5 seconds using the kinematic equation v = u + at. This detailed step-by-step solution explains key concepts in kinematics and is ideal for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation