A car initially at rest accelerates
uniformly to over 6.00 s .
What is the acceleration of the car?

Ask by Reyes Jimenez. in South Africa

Jan 22,2025

Question

A car initially at rest accelerates uniformly to $$ 15.0 \mathrm{~m} / \mathrm{s} $$ over 6.00 s . What is the acceleration of the car? $$ a=[?] \mathrm{m} / \mathrm{s}^{2} $$

UpStudy AI · Accepted Answer

To find the acceleration $$ a $$ of the car, we can use the basic kinematic equation:

$$
v = u + a t
$$

where:
- $$ v $$ is the final velocity,
- $$ u $$ is the initial velocity,
- $$ a $$ is the acceleration,
- $$ t $$ is the time.

Given:
- The car starts from rest, so $$ u = 0 $$ m/s.
- Final velocity, $$ v = 15.0 $$ m/s.
- Time taken, $$ t = 6.00 $$ s.

Plugging in the values:

$$
15.0\, \text{m/s} = 0\, \text{m/s} + a \times 6.00\, \text{s}
$$

Solving for $$ a $$:

$$
a = \frac{15.0\, \text{m/s}}{6.00\, \text{s}} = 2.50\, \text{m/s}^2
$$

**Answer:**

The acceleration of the car is $$ 2.50\ \mathrm{m/s^{2}} $$.
The car's acceleration is $$ 2.50\ \mathrm{m/s^{2}} $$.

A car initially at rest accelerates
uniformly to over 6.00 s .
What is the acceleration of the car?

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A car initially at rest accelerates uniformly to over 6.00 s . What is the acceleration of the car?