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

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SUMMARY

The physics problem discusses whether a stunt biker can successfully jump a gap of 45 meters while traveling at a speed of 20 m/s at an angle of 30 degrees. To solve this, the biker's initial velocity components are calculated using trigonometric functions: the horizontal component is 20*cos(30) and the vertical component is 20*sin(30). By determining the time of flight and horizontal displacement, the conclusion can be drawn regarding the feasibility of the jump.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with kinematic equations
  • Ability to perform vector decomposition
NEXT STEPS
  • Calculate the time of flight for the biker using the vertical motion equations
  • Determine the horizontal distance traveled using the horizontal velocity component
  • Explore the effects of varying angles and speeds on jump distance
  • Study real-world applications of projectile motion in stunt biking
USEFUL FOR

This discussion is beneficial for physics students, educators, and stunt biking enthusiasts interested in understanding the mechanics of jumps and projectile motion 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


 
Last edited:
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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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