The object slides on the smooth slope at the speed of 4m / s, passing through two points a and B. the speed at point a is twice that at point B. from point B to the top C of the slope after 0.5s, the speed becomes 0, as shown in the figure. The distance between a and B is 0.75m. Try to find the length of the slope and the time it takes for the object to slide from the bottom d to B? (the object moves in a straight line with uniform deceleration on the inclined plane)

The object slides on the smooth slope at the speed of 4m / s, passing through two points a and B. the speed at point a is twice that at point B. from point B to the top C of the slope after 0.5s, the speed becomes 0, as shown in the figure. The distance between a and B is 0.75m. Try to find the length of the slope and the time it takes for the object to slide from the bottom d to B? (the object moves in a straight line with uniform deceleration on the inclined plane)

Let the velocity of point a be VA, the velocity of point B be VB, the acceleration be a, and the length of slope be s. A to B: vb2-va2 = 2asab ①vA=2vB … ② B to C: 0 = VB + at0 ③ Solution (1) (2) (3) is: VB = 1m / s, a = - 2m / S2D to C: 0-v02 = 2As ④ When s = 4m from D to B