Ariel and Jackson are playing miniature golf. Ariel's ball rolls into a long, straight upward incline with a speed of 3.054 m/s and accelerates at -0.7762 m/s/s for 1.51 seconds until it reaches the top of the incline and then continues along an elevated section. Determine the length of the incline.

Respuesta :

Answer:

The length is [tex]s = 3.73 \ m[/tex]

Explanation:

From the question we are told that

  The speed is  [tex]v = 3.054 \ m/s[/tex]

  The acceleration [tex]a = -0.7762 m/s^2[/tex]

   The time taken is  [tex]t = 1.51 \ s[/tex]

     

Generally from kinematics equation the length of the inclined plane is mathematically represented as

         [tex]s =ut + \frac{1}{2} * at^2[/tex]

=>      [tex]s = 3.054 *1.51 + \frac{1}{2} * (-0.7762) *(1.51)^2[/tex]

=>   [tex]s = 3.73 \ m[/tex]