Physics Problem: Can a Biker Make a 45m Gap Jump at 20m/s and 30 Degrees?

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To determine if the biker can clear a 45m gap while traveling at 20m/s and an angle of 30 degrees, the initial horizontal and vertical velocity components can be calculated using trigonometric functions. The horizontal component is found by multiplying 20 by cos(30), and the vertical component by multiplying 20 by sin(30). Using these components, the time of flight can be calculated, followed by the horizontal displacement to see if it meets or exceeds 45m. The calculations are straightforward but require careful application of physics equations. Ultimately, the biker's ability to make the jump hinges on these calculations.
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will the biker make the jump?

Homework Statement



a stunt biker is trying to clear a gap of 45m, he is traveling at 20m/s and the jump angle is 30 degrees. the question is will he make the gap traveling at this speed? i am stuck as to how to start this problem any help would be greatly appriciated.:smile:

Homework Equations





The Attempt at a Solution


 
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this is easy
they give u the angle and initial velocity so u can find out initial velocities for both vertical and horizontal components by multiplying 20*cos30 and 20*sin 30
then u can use an equation to find the time and then use another equation to get the displacement
simple stuff really
just takes a while
 
thanks i was thinking along thoose lines...but wasnt sure
 

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