Final answer:
Susie's acceleration, while slowing down from 150 m/s to 25 m/s over 5 seconds going uphill, is calculated as -25 m/s². This negative value denotes a deceleration.
Step-by-step explanation:
The question given by the student asks to calculate the acceleration of Susie as she slows down from 150 m/s to 25 m/s over a time period of 5 seconds while going uphill. To find the acceleration, we use the formula:
a = ((v_f)(v_i)) / t
Where:
- a is the acceleration
- (v_f) is the final velocity
- (v_i) is the initial velocity
- t is the time
Plugging the values from the question into the formula gives us:
a = (25 m/s - 150 m/s) / 5 s = -125 m/s² / 5 s = -25 m/s²
This means the acceleration of Susie is -25 m/s². The negative sign indicates that this is a deceleration, as her speed is decreasing as she goes uphill.