A traffic light turns green, a car accelerate from rest and cover 10m in 4s . What is the acceleration of the car , assume uniform acceleration
To find the acceleration of the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the car starts from rest, which means its initial velocity is 0 m/s. The car covers a distance of 10m in 4 seconds.
We can find the final velocity by using the formula:
final velocity = initial velocity + (acceleration * time)
Since the car starts from rest, the initial velocity is 0 m/s. We can substitute these values into the formula:
10 = (0 + acceleration * 4)
Simplifying the equation:
10 = 4 * acceleration
Dividing both sides by 4:
acceleration = 10 / 4 = 2.5 m/s^2
So, the acceleration of the car is 2.5 m/s^2.
To find the acceleration of the car, we can use the following equation:
acceleration = (final velocity - initial velocity) / time
In this case, the car starts from rest, so the initial velocity (u) is 0 m/s. The car covers a distance of 10 meters in a time of 4 seconds.
First, let's calculate the final velocity (v):
distance = (initial velocity + final velocity) / 2 * time
10 = (0 + v) / 2 * 4
Now, let's solve for v:
10 = v / 8
v = 10 * 8
v = 80 m/s
Now, we can calculate the acceleration:
acceleration = (final velocity - initial velocity) / time
acceleration = (80 - 0) / 4
acceleration = 20 m/s^2
Therefore, the acceleration of the car is 20 m/s^2.