Final answer:
The runner will travel a certain distance and end up with a final velocity that doesn't make sense.
Step-by-step explanation:
In this case, the runner starts with a velocity of 9.00 m/s and decelerates at a rate of 2.00 m/s². To find the distance traveled in the next 5.00 seconds, we can use the equation:
d = v0t + 0.5at²
where
d is the distance traveled
v0 is the initial velocity
t is the time
a is the acceleration
Plugging in the given values:
d = (9.00 m/s)(5.00 s) + 0.5(-2.00 m/s²)(5.00 s)²
Simplifying this equation will give you the distance traveled.
For the final velocity, we can use the equation:
v = v0 + at
where
v is the final velocity
Plugging in the given values:
v = 9.00 m/s + (-2.00 m/s²)(5.00 s)
Simplifying this equation will give you the final velocity.
To evaluate the result, we can compare it to the initial conditions. In this case, the result is a negative final velocity which means the runner is moving in the opposite direction. This does not make sense since the runner should be decelerating in the same direction. Therefore, the result is unreasonable.