What is the maximum reaction time to avoid hitting the deer?

In summary, linear motion refers to the movement of an object in a straight line with constant speed and direction. A linear motion problem involves solving for variables such as velocity, acceleration, and distance traveled. To solve a linear motion problem, you need to identify the known and unknown variables and use equations such as <em>v = u + at</em> and <em>s = ut + 1/2at^2</em>. Common units used in linear motion problems include meters for distance, meters per second for velocity, and meters per second squared for acceleration. To verify the accuracy of your answer, you can check it by plugging in calculated values into the original equation or using the equations of motion to solve for a different variable.
  • #1
nfxgosu
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A ranger in a national park is driving at 28.0 mi/h when a deer jumps into the road 155 ft ahead of the vehicle. After a reaction time t, the ranger applies the brakes to produce an acceleration of a = -9.00 ft/s2. What is the maximum reaction time allowed if she is to avoid hitting the deer?



V=(Vo)(t)+(1/2)at^2
V^s=(Vo)^2+2a(delta x)


28.0 mi 5280 ft 1 hr = 41.06667ft/s
1 hr 1 mi 3600 s
 
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  • #2
Start by figuring out the distance she needs to come to a stop. (Use one of the equations you posted.)
 

1. What is linear motion?

Linear motion refers to the movement of an object in a straight line, with constant speed and direction.

2. What is a linear motion problem?

A linear motion problem is a physics problem that involves calculating the motion of an object in a straight line, taking into account factors such as velocity, acceleration, and distance traveled.

3. How do I solve a linear motion problem?

To solve a linear motion problem, you need to first identify the known and unknown variables, such as initial velocity, final velocity, acceleration, and distance. Then, you can use equations such as v = u + at and s = ut + 1/2at^2 to solve for the unknown variable.

4. What are some common units used in linear motion problems?

Common units used in linear motion problems include meters (m) for distance, meters per second (m/s) for velocity, and meters per second squared (m/s^2) for acceleration. It is important to use consistent units throughout your calculations.

5. How can I check if my answer to a linear motion problem is correct?

You can check your answer to a linear motion problem by plugging in your calculated values into the original equation and seeing if it equals the given values. Additionally, you can use the equations of motion to solve for a different variable and see if your answer matches. It's always a good idea to double check your work to ensure accuracy.

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