In the mock-up above, which variable is related to the vertical displacement of the car/projectile? At the moment of launch -the instant when the car leaves the bridge: is the vertical component of the car's velocity (voy) up, down, or zero? After launch while the projectile flies through the air, is the vertical acceleration of the projectile to the up, to the down or zero? In lab, g refers to the magnitude of the acceleration due to gravity. Which of the following (A or B) correctly represents the acceleration due to gravity (magnitude and direction)? (A) a, = g = 9.8m/s² (B) a, =-g= -9.8m/s² Use Equation (2) and your answers to the questions above to get an equation for the vertical part of the motion. There should be no numbers in your final answer (except any that are part of the equation), but you may substitute any quantities that are zero to simplify your expression. (Hints: In Equation 2, what variable represents the vertical displacement? Do you need Equation 4?) Because we have no time information about the accident, you need to eliminate the variable t from your equations. (Hint: combine your answers from the previous two questions.) Re-arrange your answer to solve for vo, the speed of the car as it leaves the bridge. ("Solving for vo" means that the velocity variable vo is by itself on the left side of the equal sign and all the other variables are on the right side of the equal sign.) Your final answer here is your mathematical model for the car going off the bridge.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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You are part of a car accident investigative team, looking into a case where a car drove off a
bridge. You are using the lab projectile launcher to simulate the accident and to test your
mathematical model (an equation that applies to the situation) before you apply the model to the
accident data. We are assuming we can treat the car as a projectile.

In the mock-up above, which variable is related to the vertical displacement of the
car/projectile?
At the moment of launch -the instant when the car leaves the bridge: is the vertical
component of the car's velocity (voy) up, down, or zero?
After launch while the projectile flies through the air, is the vertical acceleration of the
projectile to the up, to the down or zero?
In lab, g refers to the magnitude of the acceleration due to gravity. Which of the
following (A or B) correctly represents the acceleration due to gravity (magnitude and
direction)?
(A) a, = g = 9.8m/s2 (B) a, = - g = -9.8m/s²
Use Equation (2) and your answers to the questions above to get an equation for the vertical part of
the motion. There should be no numbers in your final answer (except any that are part of the
equation), but you may substitute any quantities that are zero to simplify your expression. (Hints: In
Equation 2, what variable represents the vertical displacement? Do you need Equation 4?)
Because we have no time information about the accident, you need to eliminate the variable t from
your equations. (Hint: combine your answers from the previous two questions.) Re-arrange your
answer to solve for vo, the speed of the car as it leaves the bridge. ("Solving for vo" means that the
velocity variable vo is by itself on the left side of the equal sign and all the other variables are on the
right side of the equal sign.) Your final answer here is your mathematical model for the car going off
the bridge.
Transcribed Image Text:In the mock-up above, which variable is related to the vertical displacement of the car/projectile? At the moment of launch -the instant when the car leaves the bridge: is the vertical component of the car's velocity (voy) up, down, or zero? After launch while the projectile flies through the air, is the vertical acceleration of the projectile to the up, to the down or zero? In lab, g refers to the magnitude of the acceleration due to gravity. Which of the following (A or B) correctly represents the acceleration due to gravity (magnitude and direction)? (A) a, = g = 9.8m/s2 (B) a, = - g = -9.8m/s² Use Equation (2) and your answers to the questions above to get an equation for the vertical part of the motion. There should be no numbers in your final answer (except any that are part of the equation), but you may substitute any quantities that are zero to simplify your expression. (Hints: In Equation 2, what variable represents the vertical displacement? Do you need Equation 4?) Because we have no time information about the accident, you need to eliminate the variable t from your equations. (Hint: combine your answers from the previous two questions.) Re-arrange your answer to solve for vo, the speed of the car as it leaves the bridge. ("Solving for vo" means that the velocity variable vo is by itself on the left side of the equal sign and all the other variables are on the right side of the equal sign.) Your final answer here is your mathematical model for the car going off the bridge.
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