A falling object accelerates from

-10.0 m/s to -30.0 m/s. How long does this take?
t= ? s

Remember: falling = -v
lost height = -(Delta) y
g = -9.80 m/s^2

1 answer

To solve this problem, we can use the equation for acceleration:

acceleration = (change in velocity) / time

Given that the initial velocity (u) is -10.0 m/s, the final velocity (v) is -30.0 m/s, and the acceleration (a) is -9.80 m/s^2 (due to gravity), we can plug in these values into the equation:

-9.80 m/s^2 = (-30.0 m/s - (-10.0 m/s)) / time

Simplifying the equation:

-9.80 m/s^2 = (-30.0 m/s + 10.0 m/s) / time
-9.80 m/s^2 = -20.0 m/s / time

To isolate the time (t):

time = -20.0 m/s / -9.80 m/s^2

Simplifying further:

time = 2.04 s

Therefore, it takes approximately 2.04 seconds for the object to accelerate from -10.0 m/s to -30.0 m/s.