Question

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.

Answer 1

The length is
`s = 3.73 \ m`

Step-by-step explanation:

From the question we are told that

The speed is
`v = 3.054 \ m/s`

The acceleration
`a = -0.7762 m/s^2`

The time taken is
`t = 1.51 \ s`

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

`s =ut + (1)/(2) * at^2`

=>
`s = 3.054 *1.51 + (1)/(2) * (-0.7762) *(1.51)^2`

=>
`s = 3.73 \ m`