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.