Answer:
0.61 second.
Step-by-step explanation:
So, from the question we are given the following useful parameters or data or information that is going to assist us in solving this question and they are;
(1). Inclination of plane, θ = 50°.
(2). ''The horizontal and a cylindrical metal is allowed to roll between two fixed height 92cm apart on the plane" that is height = 0.92 m(92cm).
(3). The "acceleration of the cylinder to be 2/3 × g Sin (theta) and g = Acceleration due to gravity = 9.8m/s^2
Soz let us delve right into the solution to the question above. We will be making use of the mathematical representation or Equation below;
s = (1/2) a × t².
Where s = height, a = acceleration due to gravity and t = time.
0.92 = (9.8 × sin 50°/ 3) × t².
t² = 0.37
t = √ 0.37.
t =0.61 seconds.