How long to travel 150m at 26m/s with an acceleration of -2.5m/s^2?

In summary, the conversation discusses the scenario of driving at a constant speed of 26m/s and encountering a child 150m away. The question arises of how much time is needed to avoid hitting the child, considering that braking can produce an acceleration of -2.5m/s^2 but it takes time to move the foot from the gas to the brake pedal. It is also mentioned that the distance to come to a complete stop and the remaining distance of 150m are relevant factors. Finally, the question is posed about how long it would take to travel the remaining distance.
  • #1
Erin Pashanov
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0
Poster has been reminded to post schoolwork in the Homework Help forums and show her work
Driving along a steady speed of 26m/s and suddenly see a child 150m from you. Breaks can produce acceleration of -2.5m/s^2 but it takes time to get the foot from the gas to the brake pedal. How much time do you have, if to avoid hitting the child?
 
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  • #2
What distance to come to a stop?
How much of the 150 m is left?
How long to travel that distance?
 
  • #3
bhillyard said:
What distance to come to a stop?
How much of the 150 m is left?
How long to travel that distance?
I guess it is how long to travel the distance. I copied the exact question I got.
 

1. What is kinematics?

Kinematics is the branch of classical mechanics that deals with the motion of objects without considering the forces that caused the motion. It involves studying the position, velocity, and acceleration of objects over time.

2. What are the three equations of kinematics?

The three equations of kinematics are:

1. v = u + at (equation for velocity)

2. s = ut + 1/2at^2 (equation for displacement)

3. v^2 = u^2 + 2as (equation for final velocity)

3. What is the difference between velocity and acceleration?

Velocity is the rate of change of an object's displacement, while acceleration is the rate of change of an object's velocity. In simpler terms, velocity measures how fast an object is moving, while acceleration measures how quickly the object's speed is changing.

4. What is the difference between average and instantaneous velocity?

Average velocity is the total displacement of an object divided by the total time taken. It gives an overall picture of an object's motion. Instantaneous velocity, on the other hand, is the velocity of an object at a specific moment in time. It is calculated by taking the limit as the time interval approaches zero.

5. How do you represent motion on a velocity-time graph?

Motion can be represented on a velocity-time graph by plotting the velocity on the y-axis and time on the x-axis. A straight line on the graph represents constant velocity, while a curved line represents changing velocity. The slope of the line represents the acceleration of the object.

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