Acceleration Question* * (Physics 11)

In summary, the problem involves a driver of a car going 90.0km/h who suddenly sees a barrier 40.0m ahead. The driver takes 0.75 seconds before applying the brakes, and the average acceleration during braking is -10.0m/s^2. The question asks whether the car will hit the barrier and what the maximum speed could be to avoid hitting the barrier. To solve this, first calculate the distance covered by the car during the 0.75 seconds of constant speed, then subtract this from the original distance to the barrier. Finally, use the equation of motion to determine the stopping distance of the car.
  • #1
wonton1017
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Acceleration Question*URGENT* (Physics 11)

Okay well i have a test tomorrow and this is a question that was on my quiz, and i didnt know how to do this:

Homework Statement


1. A driver of a car going 90.0km/h suddenly sees a barrier 40.0m ahead. It takes the driver 0.75s before she applies the brakes, and the average acceleration during braking is -10.0m/s^2.
a. determine if the car hits the barrier (need to know how you got it, please tell me which equation and why :/ i know this involves 2 steps.)
b. what is the maximum speed at which the car could be moving and not hit the barrier 40.0m ahead? assume acceleration doesn't change.


Homework Equations





The Attempt at a Solution


I haven't a clue, need help >.<
 
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  • #2
During the 0.75 seconds the driver is moving with a constant speed. Use the speed and time to calculate the distance covered in this time interval. The distance to the barrier is now reduced by this amount. That is

[tex]d_{remain} = 40.0 - d_{react}[/tex]
 
  • #3
and then, apply the equation of motion (s-u-v-a-t equations) to check what distance it takes to stop. (you know u, v, and a.)
Drawing a rough sketch always helps in Physics. Even in such a simple question.
 

FAQ: Acceleration Question* * (Physics 11)

What is acceleration?

Acceleration is the rate of change of an object's velocity over time. In simpler terms, it is how quickly an object's speed is increasing or decreasing.

How is acceleration calculated?

Acceleration is calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

What is the difference between acceleration and velocity?

Velocity is a measure of an object's speed and direction, while acceleration is a measure of how quickly an object's velocity is changing. In other words, velocity tells us the rate of displacement, while acceleration tells us the rate of change of velocity.

What are some examples of acceleration?

Some examples of acceleration include a car speeding up or slowing down, a roller coaster going down a hill, a baseball being thrown, and a rocket taking off.

Can acceleration be negative?

Yes, acceleration can be negative. A negative acceleration, also known as deceleration, occurs when an object's velocity is decreasing over time. For example, a car slowing down or a ball thrown upwards will have a negative acceleration.

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