# V0 = 0 m/s Vf = ?? m/s A = ?? m/s2 Solve Acceleration Problem: 1600m in 5min

• poptaguser
In summary, a runner wants to finish a 1600m race in 5.0 minutes. After accelerating for 15 seconds, she maintains a constant velocity for 4.0 minutes and still has 250m left to go. Using the 5 BIG Kinematic Equations, the runner needs to determine her acceleration over the remaining distance in order to finish the race on time. Relevant information includes the distance remaining, her velocity at the start of acceleration, and the time available to cover the additional distance. By applying these variables to the kinematics equations, the runner can solve for her necessary acceleration.
poptaguser

## Homework Statement

A runner wishes to complete a 1600m races in 5.0 min. She accelerates to racing velocity in the first 15s of the race then travels at a constant velocity for the next 4.0min. At this point she still has 250m to go. What must her acceleration be over the remaining distance in order for her to finish the race next time?

## Homework Equations

The 5 BIG Kinematic Equations

## The Attempt at a Solution

Δdτ = 1600m
ΔT = 300 seconds

Ok, you're going to have to make more of an attempt than that- you just listed the given information! Try to get some more relevant information, like: What remaining distance is left for the runner when she has to start accelerating? What's her velocity at that point? How much time does she have to cover that extra distance? If you consider these variables and how they fit into the kinematics equations, you should be able to figure it out.

## 1. What is the final velocity (Vf)?

The final velocity is the velocity at the end of the motion. In this problem, it is unknown and needs to be solved for.

## 2. What is the acceleration (A)?

The acceleration is the rate of change of velocity. It can be calculated by dividing the change in velocity by the change in time.

## 3. What is the displacement (d)?

The displacement is the change in position or distance traveled. It can be calculated by multiplying the average velocity by the time.

## 4. How do you solve for acceleration?

To solve for acceleration, you can use the equation A = (Vf - V0) / t, where Vf is the final velocity, V0 is the initial velocity, and t is the time.

## 5. How do you convert minutes to seconds?

To convert minutes to seconds, you can multiply the number of minutes by 60. In this problem, 5 minutes would be equivalent to 300 seconds.

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