Final answer:
To find the final velocity of a drag racer, use the formula Final velocity = Initial velocity + (Acceleration × Time).
Step-by-step explanation:
To find the final velocity of a drag racer that has constant acceleration and finishes a 0.25-mile race in 15 seconds, we can use the formula:
Final velocity = Initial velocity + (Acceleration × Time)
Since the drag racer starts from rest (initial velocity = 0), we only need to calculate the acceleration. To find the acceleration, we can use the formula:
Acceleration = Change in velocity / Time
Since the drag racer finishes the race and reaches its final velocity, the change in velocity is the final velocity. The time is given as 15 seconds. We know that 0.25 mile is equal to 402.34 meters. Substituting the values into the equation, we get:
Final velocity = 0 + (Acceleration × 15)
Acceleration = Final velocity / Time = Final velocity / 15
Final velocity = Final velocity / 15 × 15 = Final velocity / 1 = Final velocity
Let's solve for the final velocity:
Final velocity = (Final velocity / 15) × 15
Final velocity = 402.34 / 15 × 15
Final velocity = 402.34 mph