A car starts from rest and covers a distance of 40m in 10s . Calculate the magnitude of its acceleration.
A. 4.00ms
B. 32ms
C. 8.00ms.
To find the magnitude of acceleration, we use the equation:
acceleration = (final velocity - initial velocity) / time
Since the car starts from rest, the initial velocity is 0 m/s.
The final velocity is given by the equation:
final velocity = distance / time
Plugging in the given values:
final velocity = 40m / 10s = 4m/s
Now we can calculate the acceleration:
acceleration = (4m/s - 0m/s) / 10s = 0.4m/s²
So, the magnitude of the car's acceleration is 0.4m/s².
The closest option is A. 4.00ms.
To calculate the magnitude of acceleration, we can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the car starts from rest, so the initial velocity is 0 m/s. The distance covered by the car is 40m, and the time taken is 10s.
We can use the formula for displacement:
displacement = initial velocity * time + (1/2) * acceleration * time^2
Since the initial velocity is 0, the formula simplifies to:
displacement = (1/2) * acceleration * time^2
Rearranging the formula to solve for acceleration:
acceleration = (2 * displacement) / (time^2)
Substituting the values:
acceleration = (2 * 40m) / (10s^2)
Simplifying:
acceleration = 80m / 100s^2
acceleration = 0.8m/s^2
Therefore, the magnitude of the car's acceleration is 0.8m/s^2.
The correct answer is not listed among the options.
To calculate the magnitude of acceleration, we need to use the formula:
acceleration (a) = (final velocity - initial velocity) / time
In this case, the car starts from rest, which means the initial velocity is 0 m/s. The distance covered is 40m, and the time taken is 10s.
To find the final velocity, we can use the formula:
final velocity = distance / time
Substituting the values:
final velocity = 40m / 10s = 4 m/s
Now we can calculate the magnitude of acceleration:
acceleration = (4 m/s - 0 m/s) / 10s = 0.4 m/s^2
Therefore, the magnitude of its acceleration is 0.4 m/s^2.
None of the given options (A, B, or C) match the correct answer.