What Equation Calculates the Deceleration Time for an F1 Car?

[porsche930]

Homework Statement

if we have an f1 car decelerating from 320km/hr to 68km/hr in 130 meter. what would be the equation needed to calculate the time taken by the car to decelerate those 252km/hr

Homework Equations

The Attempt at a Solution

 

[Darth Frodo]

You must at least attempt it before we can help

 

[rcgldr]

Is there an assumption of constant rate of deceleration?

 

[PeterO]

Homework Statement

if we have an f1 car decelerating from 320km/hr to 68km/hr in 130 meter. what would be the equation needed to calculate the time taken by the car to decelerate those 252km/hr

Homework Equations

The Attempt at a Solution

A start would be to convert those speeds to m/s .

 

[asteriatic]

To calculate the time taken for the F1 car to decelerate from 320km/hr to 68km/hr, we can use the equation for acceleration:

a = (vf - vi)/t

Where:
a = acceleration (m/s^2)
vf = final velocity (m/s)
vi = initial velocity (m/s)
t = time (s)

In this case, we need to rearrange the equation to solve for time:

t = (vf - vi)/a

To solve for acceleration, we can use the equation:

a = (vf - vi)/d

Where:
a = acceleration (m/s^2)
vf = final velocity (m/s)
vi = initial velocity (m/s)
d = distance (m)

In this case, we need to rearrange the equation to solve for acceleration:

a = (vf - vi)/d

Now, we can plug in the given values:

vi = 320 km/hr = 88.89 m/s
vf = 68 km/hr = 18.89 m/s
d = 130 m

a = (18.89 m/s - 88.89 m/s)/130 m = -0.538 m/s^2

Finally, we can plug this value for acceleration into the equation for time:

t = (18.89 m/s - 88.89 m/s)/(-0.538 m/s^2) = 137.5 s

Therefore, it would take approximately 137.5 seconds for the F1 car to decelerate from 320km/hr to 68km/hr in a distance of 130 meters.