Final answer:
The car's speed after 7.0 seconds will be 9.0 m/s.
Step-by-step explanation:
Given that the car coasts into a hill at a speed of 16.0 m/s and slows down with a uniform acceleration of -1.0 m/s², we can use the equations of motion to find the car's speed after 7.0 seconds.
The equation for the final velocity (v) of an object with initial velocity (u), acceleration (a), and time (t) is given by:
v = u + at
Substituting the values, we have:
v = 16.0 m/s - 1.0 m/s² * 7.0 s
Simplifying the equation, we get:
v = 16.0 m/s - 7.0 m/s
v = 9.0 m/s
Therefore, the car's speed after 7.0 seconds will be 9.0 m/s.