a car traveling 7.0 m/s accelerates uniformly at 2.5 m/s squared to reach a speed of 12 m/s. how long does it take for the acceleration to occur?
Have you found the answer yet?
2.0 s
To find out how long it takes for the acceleration to occur, we can use the equation of motion:
\(v = u + at\)
where:
v = final velocity
u = initial velocity
a = acceleration
t = time
In this case, the initial velocity (u) is 7.0 m/s, the final velocity (v) is 12 m/s, and the acceleration (a) is 2.5 m/s^2.
Using the equation, we can rearrange it to solve for time (t):
\(t = \frac{{v - u}}{{a}}\)
Substituting the given values into the equation:
\(t = \frac{{12 - 7.0}}{{2.5}}\)
Calculating the above expression:
\(t = \frac{{5.0}}{{2.5}}\)
\(t = 2.0\) seconds
Therefore, it takes 2.0 seconds for the acceleration to occur.
To find the time it takes for the acceleration to occur, we can use the equation:
v = u + at
Where:
v = final velocity (12 m/s)
u = initial velocity (7.0 m/s)
a = acceleration (2.5 m/s^2)
t = time
Rearranging the equation to solve for time (t):
t = (v - u) / a
Substituting the given values into the equation:
t = (12 m/s - 7.0 m/s) / 2.5 m/s^2
Now we can calculate the time it takes for the acceleration:
t = 5.0 m/s / 2.5 m/s^2
t = 2.0 seconds
So, it takes 2.0 seconds for the car to accelerate to a speed of 12 m/s.