A commuter backs her car out of her garage with an acceleration of 1.6 m/s2. How long does it take her to reach a speed of 2.3 m/s in seconds
v = Vi + a t
2.3 = 0 + 1.6 t
t = 2.3 / 1.6
To find the time it takes for the commuter to reach a speed of 2.3 m/s, we need to use the equation:
v = u + at
Where:
v = final velocity (2.3 m/s),
u = initial velocity (0 m/s, since the car starts from rest),
a = acceleration (1.6 m/s^2),
t = time (what we need to find).
Rearranging the equation to solve for t, we have:
t = (v - u) / a
Plugging in the given values, we get:
t = (2.3 m/s - 0 m/s) / 1.6 m/s^2
Simplifying the equation, we have:
t = 1.44 seconds
Therefore, it would take the commuter approximately 1.44 seconds to reach a speed of 2.3 m/s.