A car with a velocity of 19 m/s is accelerated uniformly at the rate of 1.8 m/s2 for 6.8 s. What is its final velocity?
Vf=Vi+at
To find the final velocity of the car, we can use the kinematic equation:
Final Velocity (v) = Initial Velocity (u) + (Acceleration (a) * Time (t))
Given:
Initial Velocity (u) = 19 m/s
Acceleration (a) = 1.8 m/s²
Time (t) = 6.8 s
By substituting these values into the equation, we can calculate the final velocity:
v = u + (a * t)
v = 19 m/s + (1.8 m/s² * 6.8 s)
First, multiply the acceleration and time:
v = 19 m/s + (12.24 m/s)
Then, add the values:
v = 31.24 m/s
Therefore, the final velocity of the car is 31.24 m/s.