A soccer ball starts from rest and accelerates with an acceleration of 0.405 m/s^2 while moving down a 8.50 m long inclined plane. When it reaches the bottom, the ball rolls up another plane, where, after moving 15.25 m, it comes to rest.
(a) What is the speed of the ball at the bottom of the first plane (in m/s)? (Round your answer to at least two decimal places.)
m/s
(b) How long does it take to roll down the first plane (in s)?
s
This problem is a continuation of the previous question with different numbers.
A basketball starts from rest and accelerates with an acceleration of 0.385 m/s^2 while moving down a 9.00 m long inclined plane. When it reaches the bottom, the ball rolls up another plane, where, after moving 14.75 m, it comes to rest.
(c) What is the magnitude of the acceleration along the second plane (in m/s^2)?
m/s^2
(d) What is the ball's speed 7.90 m along the second plane (in m/s)?
m/s
(e) What If? You change the angles of the two inclines in such a manner that the new acceleration down the first incline is a_x new down = 2a_x initial down and up the second incline is a_x new up = a_x initial up / 2. What is the ball's speed 7.90 m up the second plane (in m/s)?
No credit - but good practice. m/s