Batmobile Physics Problem: Solving for Time on a Straight Street in Gotham City

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SUMMARY

The discussion centers on a physics problem involving the Batmobile's motion in Gotham City, specifically calculating the time taken for the Batmobile to travel 750 meters under constant acceleration and determining the acceleration that causes Robin's rope to maintain a 30-degree angle with the vertical. The key relationship used is the tangent function, where tan(θ) equals the ratio of the Batmobile's acceleration to gravitational acceleration. Participants suggest drawing a triangle to visualize the problem and apply trigonometric principles to find the solution.

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raferalston
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hi, i am grade 12 student having difficulty on a question for my physics class. i was wondering if anybody could help me out.
the question is:
Batman drove the batmobile along a straight street in gotham city. He started from rest and maintained a constant value acceleration for 750m.Robin was standin on the floor of the batmobile holding the batrope, which was tied to the batmobile ceiling, when the trip began.the rope made a 30 degree angle with the vertical.even togh he picked his feet up off the floor the rope angle did not change. How long, in seconds, did the trip take?
 
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What acceleration would cause Robin's rope to make a 30 degree angle with the vertical?

Here's a hint: Draw a triangle. Label what you know and solve for what you need.

cookiemonster
 
I'm thinking it would be a tan relationship.

[tex]tan(\theta) = \frac{batmobile}{gravity}[/tex]
 

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