A car travels with an initial velocity of 20 m/s and speeds up to 45 m/s over a period of 5 s. What is the acceleration of the car? (a = Δv/Δt)
A.0 m/s2
B.2 m/s2
C.5 m/s2
D.13 m/s2

To find the acceleration of the car, we can use the formula:

\[
a = \frac{{\Delta v}}{{\Delta t}}
\]

where:
- \( \Delta v \) is the change in velocity,
- \( \Delta t \) is the time interval.

Given:
- Initial velocity \( v_i = 20 \, \text{m/s} \),
- Final velocity \( v_f = 45 \, \text{m/s} \),
- Time interval \( \Delta t = 5 \, \text{seconds} \).

Now, let's calculate the change in velocity \( \Delta v \):
\[
\Delta v = v_f - v_i = 45 \, \text{m/s} - 20 \, \text{m/s} = 25 \, \text{m/s}.
\]

Next, we calculate the acceleration:
\[
a = \frac{{\Delta v}}{{\Delta t}} = \frac{{25 \, \text{m/s}}}{{5 \, \text{s}}} = 5 \, \text{m/s}^2.
\]

Therefore, the acceleration is:

\[
\boxed{5 \, \text{m/s}^2}.
\]

The correct answer is **C. 5 m/s²**.

Would you like further details on how this is calculated or on acceleration in general? 

Here are 5 related questions for practice:
1. What is the final velocity of a car that starts at 10 m/s and accelerates at 4 m/s² for 6 seconds?
2. If a car decelerates at 3 m/s² and comes to a stop from 30 m/s, how long does it take?
3. How far does a car travel if it accelerates from 0 to 20 m/s in 4 seconds?
4. What is the change in velocity of a truck that accelerates at 6 m/s² for 10 seconds?
5. If a car takes 8 seconds to go from 5 m/s to 25 m/s, what is its acceleration?

**Tip**: Acceleration is a vector quantity, meaning it has both magnitude and direction.

A car travels with an initial velocity of 20 m/s and speeds up to 45 m/s over a period of 5 s. What is the acceleration of the car? (a = Δv/Δt)
A.0 m/s²
B.2 m/s²
C.5 m/s²
D.13 m/s²

Find the acceleration of a car as it speeds up from 20 m/s to 45 m/s over 5 seconds. This problem uses kinematics to calculate the rate of change in velocity (a = Δv/Δt) and is ideal for students in Grades 9-12 learning basic physics concepts like acceleration.

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