Question

A car accelerates from 20 m/s to 40m/s in 10 seconds. What is the distance traveled by the car during the 10 seconds?

Answer 1

To find the distance traveled by the car during the 10 seconds, we can use the equation:

$\text{Distance}=\text{Average Velocity}\times \text{Time}$

In this case, since the car is accelerating, we need to calculate the average velocity over the given time interval.

Average Velocity can be calculated as:

$\text{Average Velocity}=\frac{\text{Initial Velocity}+\text{Final Velocity}}{2}$

Given: Initial Velocity ($v_1$) = 20 m/s Final Velocity ($v_2$) = 40 m/s Time ($t$) = 10 seconds

Calculating the Average Velocity: $\text{Average Velocity}=\frac{20\text{m/s}+40\text{m/s}}{2}=30\text{m/s}$

Now, we can find the distance traveled: $\text{Distance}=\text{Average Velocity}\times \text{Time}=30\text{m/s}\times 10\text{s}=300\text{meters}$

Therefore, the car travels a distance of 300 meters during the 10 seconds.