# Accleration problem - car strikes a tree

• Frosty8
In summary, the problem involves a car traveling at 25m/s striking a tree and the driver coming to rest after traveling 0.72m. The average acceleration of the driver during the collision needs to be expressed in terms of "g's." Using the equation velocity final^2 = velocity initial^2 + 2acceleration(change in distance), we can calculate the acceleration to be -434 m/s^2, which is equivalent to -44.3 g's. This means that the driver experienced a very high deceleration during the collision.
Frosty8

## Homework Statement

A car traveling at 25m/s strikes a tree. The front end of the car compresses and the driver comes to rest after traveling 0.72 m. What was the average acceleration of the driver during the collision? Express the answer in terms of "g's," where 1.00g = 9.80 m/s2

## Homework Equations

velocity final^2 = velocity initial^2 + 2acceleration(change in distance)

## The Attempt at a Solution

velocity final^2 = velocity initial^2 + 2acceleration(change in distance)
o^2=25^2+2a(.72)
so for the acceleration i got -15ms^2/9.8ms^2= -1.53ms^2 and this was wrong. what did i do wrong?

Welcome, Frosty8, to the Physics Forums!
Frosty8 said:

## Homework Statement

A car traveling at 25m/s strikes a tree. The front end of the car compresses and the driver comes to rest after traveling 0.72 m. What was the average acceleration of the driver during the collision? Express the answer in terms of "g's," where 1.00g = 9.80 m/s2

## Homework Equations

velocity final^2 = velocity initial^2 + 2acceleration(change in distance)

## The Attempt at a Solution

velocity final^2 = velocity initial^2 + 2acceleration(change in distance)
o^2=25^2+2a(.72)
yes, correct
so for the acceleration i got -15ms^2/9.8ms^2= -1.53ms^2 and this was wrong. what did i do wrong?
math error: 625 = -1.44a, theerfore, a = -434 m/s^2 , which is how many 'g's'?

Thank you

## What is an acceleration problem?

An acceleration problem refers to a situation where a car is unable to accelerate properly, resulting in a decrease in speed or a sudden jolt. This can be caused by various factors such as mechanical issues, faulty sensors, or human error.

## What are the common signs of an acceleration problem?

Some common signs of an acceleration problem include the car hesitating or stalling when trying to accelerate, the engine revving but the car not moving, or sudden jerks or surges while driving. If you experience any of these signs, it is important to get your car checked by a professional mechanic.

## What causes an acceleration problem?

An acceleration problem can be caused by a variety of factors. Some common causes include a faulty throttle position sensor, clogged fuel injectors, a dirty air filter, or a malfunctioning fuel pump. In some cases, it can also be due to human error such as pressing the gas and brake pedals at the same time.

## How can an acceleration problem be fixed?

The solution to an acceleration problem depends on the underlying cause. In some cases, a simple fix such as cleaning or replacing a part may resolve the issue. However, if the problem is more complex, it may require more extensive repairs or replacements. It is important to consult a professional mechanic to accurately diagnose and fix the problem.

## Can an acceleration problem lead to a car striking a tree?

Yes, if an acceleration problem is severe enough, it can cause a car to lose control and strike a tree or other objects. It is important to address acceleration problems promptly to prevent any potential accidents or damage to the vehicle. If the acceleration problem is not resolved, it can also lead to other issues such as decreased fuel efficiency and engine damage.

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