Answer: 2.2 seconds!
Step-by-step explanation:
The answer is approximately 2.2 seconds.
To find this, we can apply the equations of motion for a rolling sphere on an incline. Since the ball is starting from rest, its initial velocity is 0 m/s. We also know the angle of inclination (15.4°) and the distance the ball must travel (4.4m).
Using the equations of motion, we can solve for the acceleration of the ball, which is given by:
a = g*sin(θ)
where g is the acceleration due to gravity (9.81 m/s2) and θ is the angle of inclination (15.4°).
So, the acceleration of the ball is:
a = 9.81 * sin(15.4°) = 3.15 m/s2
Now we can use the equations of motion to solve for the time it will take for the ball to travel the 4.4m.
The equation for displacement is given by:
x = 1/2 * a * t^2
Where x is the displacement (4.4m in this case), a is the acceleration (3.15 m/s2) and t is the time.
Rearranging the equation to solve for t, we get:
t = sqrt(2x/a)
Substituting in the values for x and a, we get:
t = sqrt(2*4.4/3.15) = 2.2 s
Therefore, it will take the basketball approximately 2.2 seconds to roll 4.4m down the incline.