Final answer:
Amber's BMW, accelerating at 4 m/s² from rest, would be traveling at a speed of 32 m/s after 8 seconds according to the uniformly accelerated motion equation.
Step-by-step explanation:
To find out how fast Amber is traveling after 8 seconds when she accelerates from rest at a rate of 4 m/s², we can use the formula for uniform acceleration,
v = u + at, where v is the final velocity, u is the initial velocity (which is 0 since she started from rest), a is the acceleration, and t is the time. Plugging in the values, we get v = 0 + (4 m/s²)(8 s), which simplifies to v = 32 m/s. Thus, Amber's BMW would be traveling at a speed of 32 m/s after 8 seconds of acceleration. The final velocity is calculated to assess the motion of the vehicle under constant acceleration.