Question

problem 10. the initial velocity of a racecar is 6 m/s. the car speeds up for 20 s until it reaches a final velocity of 16 m/s. calculate the displacement of the racecar.

Explanation:

Step1: Identify the formula

We use the formula $s=\frac{(u + v)}{2}\times t$, where $s$ is displacement, $u$ is initial - velocity, $v$ is final - velocity and $t$ is time.

Step2: Substitute the values

Given $u = 6\ m/s$, $v = 16\ m/s$ and $t = 20\ s$. Substitute into the formula: $s=\frac{6 + 16}{2}\times20$.

Step3: Calculate the result

First, calculate the sum in the numerator: $6+16 = 22$. Then, $\frac{22}{2}=11$. Finally, $11\times20 = 220\ m$.

Answer:

$220\ m$