a car starts from rest it reaches a velocity of 12 m/s in 6 second.
a. what is its acceleration ?
b. if its acceleration remains the same what will be its velocity after 10 seconds?
To find the acceleration of the car, we can use the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
a. Substituting the given values:
Initial Velocity (u) = 0 m/s (as the car starts from rest)
Final Velocity (v) = 12 m/s
Time (t) = 6 seconds
Acceleration = (12 m/s - 0 m/s) / 6 s
Acceleration = 2 m/s²
Therefore, the acceleration of the car is 2 m/s².
b. To find the velocity of the car after 10 seconds, we can use the formula:
Final Velocity = Initial Velocity + (Acceleration * Time)
Given:
Initial Velocity (u) = 0 m/s (as the car starts from rest)
Acceleration = 2 m/s²
Time (t) = 10 seconds
Final Velocity = 0 m/s + (2 m/s² * 10 s)
Final Velocity = 0 m/s + 20 m/s
Final Velocity = 20 m/s
Therefore, if the acceleration remains the same, the car's velocity after 10 seconds will be 20 m/s.
To find the acceleration of the car, we can use the following formula:
Acceleration = (Final velocity - Initial velocity) / Time
a. Here, the initial velocity is 0 m/s since the car starts from rest, the final velocity is 12 m/s, and the time is 6 seconds.
Acceleration = (12 m/s - 0 m/s) / 6 s
Acceleration = 12 m/s / 6 s
Acceleration = 2 m/s²
Therefore, the acceleration of the car is 2 m/s².
b. To find the velocity of the car after 10 seconds, we can use another formula:
Final velocity = Initial velocity + (Acceleration * Time)
In this case, the initial velocity is 0 m/s, the acceleration is 2 m/s² (which we found in the previous step), and the time is 10 seconds.
Final velocity = 0 m/s + (2 m/s² * 10 s)
Final velocity = 0 m/s + 20 m/s
Final velocity = 20 m/s
Therefore, if the acceleration remains the same, the velocity of the car after 10 seconds would be 20 m/s.
a. Vo = 0
V = 12 m/s.
t = 6 s.
V = Vo + a*t
Solve for a.
b. V = a*t
a = (Use value calculated in part a).
t = 10 s.
Solve for V.