Question

1. graph: at time 0 the car is at the starting line. at 4 seconds, the velocity of the car is at 4m/s. at 10 seconds the car has a velocity of 7m/s. what is the acceleration of the car from 0 - 4? what is the acceleration of the car from 4 - 10?

Explanation:

Step1: Recall acceleration formula

The formula for acceleration is $a=\frac{v - u}{t}$, where $v$ is final - velocity, $u$ is initial - velocity, and $t$ is time.

Step2: Calculate acceleration from 0 - 4 seconds

Initial velocity $u = 0$ m/s (at time $t = 0$), final velocity $v = 4$ m/s (at time $t = 4$ s). Using the formula $a=\frac{v - u}{t}$, we have $a_1=\frac{4 - 0}{4}=1$ m/s².

Step3: Calculate acceleration from 4 - 10 seconds

Initial velocity $u = 4$ m/s (at time $t = 4$ s), final velocity $v = 7$ m/s (at time $t = 10$ s), and time $t=10 - 4 = 6$ s. Using the formula $a=\frac{v - u}{t}$, we get $a_2=\frac{7 - 4}{6}=\frac{3}{6}=0.5$ m/s².

Answer:

The acceleration from 0 - 4 seconds is 1 m/s². The acceleration from 4 - 10 seconds is 0.5 m/s².