Adaredevil decides to jump a canyon. to do so, she drives a motorcycle up an incline sloped at an angle of 35 degrees. if she leaves the incline at a speed of 25m/s what is the maximum width of the canyon that she can cross? (she lands and takes off at the same elevation.)

60.07 m

Explanation:

= speed of launch = 25 m/s

= angle of incline = 35 deg

Consider the motion along the vertical direction :

= initial velocity along vertical direction = =   = 14.34 m/s

= acceleration along vertical direction = - 9.8 m/s²

= time of travel = ?

= vertical displacement = 0 m

Using the kinematics equation

= 2.93 sec

Consider the motion along the horizontal direction:

= initial velocity along horizontal direction = =   = 20.5 m/s

= acceleration along vertical direction = 0 m/s²

= time of travel = 2.93 sec

= horizontal displacement = ?

Using the kinematics equation

= 60.07 m

= width of canyon

=  

= 60.07 m