as she climbs a hill, a cyclist slows down from 25 mi/hr to 6mi/hr in 10 seconds. what is her deceleration?
To find the deceleration, we need to find the change in velocity and divide it by the time it takes for the change to occur.
The change in velocity can be calculated by subtracting her final velocity from her initial velocity:
Change in velocity = Final velocity - Initial velocity = 6 mi/hr - 25 mi/hr = -19 mi/hr
Since deceleration is the rate at which velocity decreases, it will have a negative sign in this case.
The time taken for the velocity to change is given as 10 seconds.
Now, we can calculate the deceleration:
Deceleration = Change in velocity / Time = (-19 mi/hr) / (10 s) = -1.9 mi/hr/s
Therefore, her deceleration while climbing the hill is -1.9 mi/hr/s.