A car advertisement states that a certain car can accelerate from rest to 70 km/h in 7 seconds. Find the car’s average acceleration in m/s/s




To find the car’s average acceleration, we can use the formula for acceleration:

\[
a = \frac{{v_f - v_i}}{t}
\]

Where:
- \( v_f \) is the final velocity (70 km/h)
- \( v_i \) is the initial velocity (0 km/h, since the car starts from rest)
- \( t \) is the time taken (7 seconds)

### Step 1: Convert the final velocity to meters per second (m/s)
Since 1 km/h = \( \frac{1000}{3600} \) m/s, we can convert 70 km/h to m/s:

\[
70 \text{ km/h} = 70 \times \frac{1000}{3600} = 19.44 \text{ m/s}
\]

### Step 2: Apply the acceleration formula
Now we can substitute the values into the formula:

\[
a = \frac{{19.44 - 0}}{7} = \frac{19.44}{7} = 2.77 \text{ m/s}^2
\]

Thus, the car's average acceleration is **2.77 m/s²**.

Would you like more details or have any questions?

### Related Questions:
1. How would the acceleration change if the final speed was 100 km/h instead of 70 km/h?
2. What would be the average acceleration if the time taken was 10 seconds instead of 7 seconds?
3. How does average acceleration differ from instantaneous acceleration?
4. If a car has constant acceleration, how can we calculate the distance traveled?
5. What units are used for acceleration, and how do they relate to velocity and time?

### Tip:
Always convert speeds to meters per second (m/s) when working with acceleration to keep the units consistent.

A car advertisement states that a certain car can accelerate from rest to 70 km/h in 7 seconds. Find the car’s average acceleration in m/s/s.

Learn how to calculate the average acceleration of a car that accelerates from rest to 70 km/h in 7 seconds. This detailed explanation covers the key concepts of kinematics, unit conversion from km/h to m/s, and the application of the acceleration formula. Suitable for students in Grades 9-11.

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