A car starts from rest and covers a distance of 40m in 10s . Calculate the magnitude of its acceleration.
To calculate the magnitude of acceleration, we can use the equation:
acceleration = change in velocity / time
In this case, the car starts from rest, so its initial velocity is 0 m/s. The distance covered in 10s is 40m. Therefore, we need to find the final velocity.
The distance covered can be calculated using the equation:
distance = initial velocity * time + (1/2) * acceleration * time^2
Since the car starts from rest, the equation reduces to:
40m = 0 * 10s + (1/2) * acceleration * (10s)^2
Simplifying the equation, we get:
40m = (1/2) * acceleration * 100s^2
Dividing both sides of the equation by 100s^2, we get:
0.4m/s^2 = acceleration
Therefore, the magnitude of the car's acceleration is 0.4 m/s^2.
To calculate the magnitude of acceleration, we can use the formula:
acceleration (a) = (final velocity - initial velocity) / time
Given:
Initial velocity (u) = 0 m/s (as the car starts from rest)
Distance covered (s) = 40 m
Time taken (t) = 10 s
Using the first equation of motion:
s = ut + (1/2)at^2
Rearranging the equation to solve for acceleration:
a = 2(s - ut) / t^2
Substituting the given values:
a = 2(40 - 0(10)) / (10)^2
a = 80 / 100
a = 0.8 m/s^2
Therefore, the magnitude of the car's acceleration is 0.8 m/s^2.
To calculate the magnitude of the car's acceleration, we can use the formula:
acceleration = change in velocity / time
Given that the car starts from rest, its initial velocity is 0 m/s. The change in velocity can be calculated using the formula:
change in velocity = final velocity - initial velocity
Since the car covers a distance of 40 m in 10 s, we can calculate the final velocity by dividing the distance by the time:
final velocity = distance / time
Plugging in the values, we get:
final velocity = 40 m / 10 s = 4 m/s
Now we can find the change in velocity:
change in velocity = final velocity - initial velocity = 4 m/s - 0 m/s = 4 m/s
Finally, we can calculate the magnitude of the car's acceleration:
acceleration = change in velocity / time = 4 m/s / 10 s = 0.4 m/s^2
Therefore, the magnitude of the car's acceleration is 0.4 m/s^2.