A car is traveling with an initial velocity of 15 m/s when the driver decides to go faster by accelerating at 5 m/s squared for 10 seconds. How far did the car travel during this time?
Answers
Answer:
x = 400 [m]
Explanation:
To solve this problem we must use the following kinematics equations, first, we find the final speed, and then we proceed to find the distance traveled.
where:
Vf = final velocity [m/s]
Vi = initial velocity = 15 [m/s]
a = acceleration = 5 [m/s^2]
t = time = 10 [s]
Note: the positive sign in the Equation indicates that the car is accelerating, i.e. its speed is increasing.
Now replacing
Vf = 15 + (5*10)
Vf = 65 [m/s]
Now using the second equation:
where:
x = distance traveled [m]
x = (65^2 - 15^2)/ (2*5)
x = 400 [m]
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