A falling object accelerates from
-10.0 m/s to -30.0 m/s. How long does this take?
To find the time it takes for the object to accelerate from -10.0 m/s to -30.0 m/s, we need to use the formula for acceleration:
acceleration = (final velocity - initial velocity) / time
Rearranging the formula to solve for time, we have:
time = (final velocity - initial velocity) / acceleration
Plugging in the given values:
time = (-30.0 m/s - (-10.0 m/s)) / acceleration
We don't have information about the acceleration, so we cannot determine the exact time it takes for the object to accelerate.
To find the time it takes for an object to accelerate from -10.0 m/s to -30.0 m/s, we can use the equation for acceleration:
Acceleration (a) = (change in velocity)/time
We know the initial velocity (u) is -10.0 m/s, the final velocity (v) is -30.0 m/s, and the acceleration (a) is not given. We need to find the time (t).
Rearranging the equation, we have:
Acceleration (a) = (final velocity - initial velocity)/time
Plugging in the values, we get:
a = (-30.0 m/s - (-10.0 m/s))/time
a = (-30.0 m/s + 10.0 m/s)/time
a = -40.0 m/s/time
Multiplying through by time, we get:
-40.0 m/s = -40.0 m/s/time * time
Simplifying, we have:
-40.0 m/s = -40.0 m/s
Since both sides are equal, we conclude that the time is equal to 1 second. Therefore, it takes 1 second for the object to accelerate from -10.0 m/s to -30.0 m/s.