Final answer:
The car will take 6 seconds to slow down from 65 mph to 35 mph with an acceleration of -5 mph².
Step-by-step explanation:
To calculate the time it takes for a car to slow down from 65 miles per hour to 35 miles per hour with an acceleration of -5 miles per hour squared, we can use the equation:
time = (final velocity - initial velocity) / acceleration
Using the given values:
time = (35 mph - 65 mph) / -5 mph²
time = -30 mph / -5 mph²
time = 6 seconds
So, it will take the car 6 seconds to slow down from 65 miles per hour to 35 miles per hour.