A hauling company needs to determine whether a large house trailer can be moved along a highway that passes under a bridge with an opening in the shape of a parabolic arc, 12m wide at the base and 6m high in the center. If the trailer is 9m wide and stands 3.2m tall measured from the ground to the top of the trailer, will it fit under the bridge?
2006-10-02 15:23:59 · 9 answers · asked by bluevolleyball12 1 in Education & Reference ➔ Homework Help
Yes, it will fit assuming the arc is only covering the one lane of traffic in a single direction. If it is covers traffic in multiple directions, then it will not be able to as this would severely limit the width allowed for the direction of travel.
The formula for the parabola is y= -(1/6)x^2 ( y equals one-sixth times the square of x times negative one).
Divided in half, the arc is 6 feet wide. One half of the trailer is only 4.5 meters, so it will fit width-wise.
At the 4.5 meter width (the x-value), the arc will be 3.375 meters from the baseline, which is higher than the 3.2 meters of the trailer.
2006-10-02 15:35:16 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Maybe if they got a clearance from the DMV. They also may need a permit from the local county office. Then of course there are building codes. They probably need a lead car and possible police escort through the area for traffic control and safety. They obviously, they could just simply read the signs for clearance. It would be a whole lot easier than doing your homework. I would not want to cheat you kid. Someday you may be driving a truck like that and you may need to know how to figure this out. You will thank us someday kid!!!!
2006-10-02 22:28:33 · answer #2 · answered by Shayna 6 · 1⤊ 1⤋
no, because traffic is going 2 ways, so you would have to cut 12 m to 6m each way. the trailer is 9m wide, so it will not work
2006-10-02 22:27:20 · answer #3 · answered by james w 3 · 0⤊ 0⤋
It wil fit, theoretically. Because this particular parabola simply makes a semi-circle. So if you were to draw it on a graph, some of the coordinates would be (0,6), (3,5), (5,3), and (6,0). If you look at this graph, you can see that at 4.5 m out from the origin, the y-value is approximately 3.6 m. You only need 3.2, so it works.
2006-10-02 22:32:23 · answer #4 · answered by dlenflockson 2 · 0⤊ 0⤋
Yes
2006-10-02 22:26:14 · answer #5 · answered by tbaby 3 · 0⤊ 2⤋
yes
2006-10-02 22:25:38 · answer #6 · answered by deadlypotent 2 · 0⤊ 2⤋
yes
2006-10-02 22:25:31 · answer #7 · answered by Ruth Less RN 5 · 0⤊ 2⤋
Yes, it will
2006-10-02 22:24:59 · answer #8 · answered by Crystal ♥'s Raymond 3 · 0⤊ 2⤋
yep.It should.
2006-10-02 22:27:19 · answer #9 · answered by Tony B 2 · 0⤊ 2⤋