The formula relevant for this is:
h = v0t + 0.5 gt^2
since the rock was dropped, therefore:
h = 0.5 gt^2
we can see that:
h / t^2 = 0.5 g = constant
therefore:
4.9 m / (1 s)^2 = h / (3 s)^2
<span>h = 44.1 m </span>
Answer:
A point on the edge of the wheel will travel 199.563 radians at the given time.
Explanation:
Given;
initial angular velocity of the wheel; 
final angular velocity of the wheel;

radius of the wheel, d/2 = (30 cm ) / 2 = 15 cm = 0.15 m
time of motion, t = 6.1 s
The angular distance traveled by the edge of the wheel is calculated as;

Therefore, a point on the edge of the wheel will travel 199.563 radians at the given time.
Mechanical efficiency is a measure of how well the machine converts the input work or energy into some useful output. It is calculated by dividing the output work by the input work. The ideal machine has mechanical efficiency equal to unity, while the real machine has mechanical efficiency less than unity