Write the initial conditions for this problem. (a) What is the initial position of the truck? (0) = =1400 ft (b) What is the initial velocity of the truck? 1 X(0) = 21.4 mph

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This seems like it should be the answer but it is not (and its not an issue with units either). Any thoughts on part A?
Velocimeter
You measure the velocity of a moving truck with a laser velocimeter from the time it passes a billboard that you know is a distance
D away from you, and the velocimeter produces a curve that matches the formula
v(t) = X(t) = V₁ + V₁ t + V₂ t²
In this problem you will use an equation like the one above to determine the position and acceleration functions of the truck.
In this problem, assume the origin is around you (this is called a "laboratory frame of reference").
Part 2 of 4 - Initial Conditions
In physics, there are special states that we care about. One of these is the initial conditions of a problem. This is just the answer to the question "what are the position and
velocity of all of the objects in the problem at the beginning of the problem?" Often this just means, what are the position and velocity at t = 0?
So, now I'm going to give you the same equation as the one above, but instead I'll fill in the numbers:
X(t) = 21.4 mph + [10 mi/hr2] t- [363 mi/hr³] t²
This and the fact that the billboard is 1400' away, should be enough for you to figure out the initial conditions for this problem.
Write the initial conditions for this problem.
(a) What is the initial position of the truck?
(0)=1400 ft
Have a break,
have a...
What is the initial velocity of the truck?
X(0) = 21.4 mph
Transcribed Image Text:This seems like it should be the answer but it is not (and its not an issue with units either). Any thoughts on part A? Velocimeter You measure the velocity of a moving truck with a laser velocimeter from the time it passes a billboard that you know is a distance D away from you, and the velocimeter produces a curve that matches the formula v(t) = X(t) = V₁ + V₁ t + V₂ t² In this problem you will use an equation like the one above to determine the position and acceleration functions of the truck. In this problem, assume the origin is around you (this is called a "laboratory frame of reference"). Part 2 of 4 - Initial Conditions In physics, there are special states that we care about. One of these is the initial conditions of a problem. This is just the answer to the question "what are the position and velocity of all of the objects in the problem at the beginning of the problem?" Often this just means, what are the position and velocity at t = 0? So, now I'm going to give you the same equation as the one above, but instead I'll fill in the numbers: X(t) = 21.4 mph + [10 mi/hr2] t- [363 mi/hr³] t² This and the fact that the billboard is 1400' away, should be enough for you to figure out the initial conditions for this problem. Write the initial conditions for this problem. (a) What is the initial position of the truck? (0)=1400 ft Have a break, have a... What is the initial velocity of the truck? X(0) = 21.4 mph
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