4. You are driving on the highway at 26 m/s when the speed limit increases. You accelerate at 2 m/s^2 for 5 s. What is the final velocity of the car?
At the beginning of the problem, the initial velocity is 26 m/s, and the acceleration is 2 m/s^2. We are given that the car accelerates for 5 seconds. Therefore, we can plug these values into the equation and solve for the final velocity:
v_f = v_i + a*t
v_f = 26 m/s + 2 m/s^2 * 5 s
v_f = 26 m/s + 10 m/s
v_f = 36 m/s
Therefore, the final velocity of the car is 36 m/s.
Answers & Comments
Answer:
36 m/s
Explanation:
To solve the problem, we can use the equation:
v_f = v_i + a*t
where:
v_f = final velocity
v_i = initial velocity
a = acceleration
t = time
At the beginning of the problem, the initial velocity is 26 m/s, and the acceleration is 2 m/s^2. We are given that the car accelerates for 5 seconds. Therefore, we can plug these values into the equation and solve for the final velocity:
v_f = v_i + a*t
v_f = 26 m/s + 2 m/s^2 * 5 s
v_f = 26 m/s + 10 m/s
v_f = 36 m/s
Therefore, the final velocity of the car is 36 m/s.