during the first 10 seconds?
Calculating A car starts from rest and increases
its speed to in 20 seconds. What is the
car’s acceleration?

Ask by Ross Love. in the United States

Jan 26,2025

Question

during the first 10 seconds? Calculating A car starts from rest and increases its speed to $$ 15 \mathrm{~m} / \mathrm{s} $$ in 20 seconds. What is the car's acceleration?

UpStudy AI · Accepted Answer

To calculate the car's acceleration, we'll use the basic formula for acceleration:

$$
\text{Acceleration} (a) = \frac{\Delta v}{\Delta t}
$$

where:
- $$\Delta v$$ is the change in velocity
- $$\Delta t$$ is the change in time

**Given:**
- **Initial velocity ($$u$$)** = $$0 \, \text{m/s}$$ (since the car starts from rest)
- **Final velocity ($$v$$)** = $$15 \, \text{m/s}$$
- **Time ($$t$$)** = $$20 \, \text{seconds}$$

**Calculation:**

1. **Determine the change in velocity ($$\Delta v$$):**
   $$
   \Delta v = v - u = 15 \, \text{m/s} - 0 \, \text{m/s} = 15 \, \text{m/s}
   $$

2. **Apply the acceleration formula:**
   $$
   a = \frac{\Delta v}{\Delta t} = \frac{15 \, \text{m/s}}{20 \, \text{seconds}} = 0.75 \, \text{m/s}^2
   $$

**Answer:**
The car's acceleration is **$$0.75 \, \text{m/s}^2$$**.
The car's acceleration is $$0.75 \, \text{m/s}^2$$.

during the first 10 seconds?
Calculating A car starts from rest and increases
its speed to in 20 seconds. What is the
car’s acceleration?

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during the first 10 seconds? Calculating A car starts from rest and increases its speed to in 20 seconds. What is the car’s acceleration?