A ball rolls off a shelf with a horizontal velocity of v. At what horizontal distance from the shelf does the ball land if the height of the shelf is h above the floor?
can anyone at least give me the formulas to work with?
To find the horizontal distance at which the ball lands from the shelf, we can use the formulas of projectile motion. Here are the key formulas you can work with:
1. Time of Flight (t):
The time it takes for the ball to reach the ground after rolling off the shelf is given by the formula:
t = √(2h/g)
where:
t = time of flight
h = height of the shelf above the ground
g = acceleration due to gravity (approximately 9.8 m/s² on Earth)
2. Horizontal Distance (d):
The horizontal distance covered by the ball can be calculated using:
d = v * t
where:
d = horizontal distance
v = horizontal velocity of the ball (given in the problem)
t = time of flight (calculated in the previous step)
By substituting the value of t from the first formula into the second formula, you can find the horizontal distance at which the ball lands.