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

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The discussion revolves around a physics problem involving the Batmobile's motion and the angle of Robin's rope. The key question is to determine the time taken for the Batmobile to travel 750 meters while accelerating from rest, and to find the acceleration that maintains a 30-degree angle of the rope with the vertical. A suggestion is made to use a tangent relationship to relate the angle, the Batmobile's acceleration, and gravity. Participants are encouraged to visualize the problem by drawing a triangle to better understand the relationships between the variables. The conversation emphasizes applying physics concepts to solve the problem effectively.
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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 verticle.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.

tan(\theta) = \frac{batmobile}{gravity}
 
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