A race car accelerates from 0.0 m/s to 30.0 m/s with a displacement of 45.0 m.
what is the car's acceleration ?
10
vf^2=Vi^2+2ad solve for a.
20
For
To find the car's acceleration, we can use the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
Given that the initial velocity (u) is 0 m/s, the final velocity (v) is 30.0 m/s, and the displacement (s) is 45.0 m, we need to find the time (t).
We can use another equation of motion:
Displacement = (Initial Velocity x Time) + (0.5 x Acceleration x Time^2)
Since the initial velocity is 0 m/s, the equation simplifies to:
Displacement = 0.5 x Acceleration x Time^2
Substituting the known values:
45.0 = 0.5 x Acceleration x Time^2
Now, we need to solve for time. Rearranging the equation gives:
Acceleration x Time^2 = 2 x Displacement
Time^2 = (2 x Displacement) / Acceleration
Taking the square root of both sides gives:
Time = sqrt((2 x Displacement) / Acceleration)
Now, we can substitute the known values and solve for time:
Time = sqrt((2 x 45.0) / Acceleration)
To find the acceleration, we need to isolate it in the equation. We can square both sides to remove the square root:
Time^2 = (2 x Displacement) / Acceleration
Time^2 x Acceleration = 2 x Displacement
Acceleration = (2 x Displacement) / Time^2
Now, we can substitute the known values and solve for acceleration:
Acceleration = (2 x 45.0) / Time^2
Since time is unknown, we cannot directly find the acceleration based on the given information. We need to know the time taken for the car to accelerate from 0 m/s to 30.0 m/s.