AP Physics 1 Exam Question

A car is traveling along a straight road. Its initial velocity is 20 m/s, and it accelerates uniformly at a rate of 4 m/s^2 for a distance of 100 meters. Determine the final velocity of the car.

Answer:

To solve this problem, we can use the following equation of motion:

where:

• $v$ is the final velocity
• $u$ is the initial velocity
• $a$ is the acceleration
• $s$ is the distance traveled

Given values: $u = 20 \, \text{m/s}$ $a = 4 \, \text{m/s}^2$ $s = 100 \, \text{m}$

Now, let's substitute the values into the equation and solve for $v$:

Simplifying the expression inside the parentheses:

To find the final velocity, we take the square root of both sides:

Therefore, the final velocity of the car is approximately 34.64 m/s.