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Joseph
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What is the answer to how fast a ball fall's form 25 feet useing the formula d = 16t2
FUNKER said:if you find the first derivative of distance as a function of time this wud give you a formula for velocity if acceleration is not constant, in this case it wud be
d'(t) = 36t.
Eh. . . The acceleration is constant. your post should read: "If you find the first derivative of distance as a function of time this would give you a formula for velocity, in this case it would be d'(t) = 36t."FUNKER said:if you find the first derivative of distance as a function of time this wud give you a formula for velocity if acceleration is not constant, in this case it wud be
d'(t) = 36t.
The_Brain said:Judging by the title, I don't think Joseph would know calculus. However, I could be wrong.
The speed of a falling ball can be calculated using the formula v = √(2gh), where v is the speed in meters per second, g is the acceleration due to gravity (9.8 m/s²), and h is the height in meters.
The acceleration of a falling ball is always constant and equal to the acceleration due to gravity, which is approximately 9.8 meters per second squared (m/s²). This means that for every second the ball falls, its speed increases by 9.8 m/s.
Yes, the weight of the ball does affect its falling speed. A heavier ball will have a greater force of gravity acting on it, causing it to accelerate faster and therefore fall faster. However, the weight does not affect the rate of acceleration due to gravity.
The time it takes for a ball to fall 25 feet can be calculated using the formula t = √(2h/g), where t is the time in seconds, h is the height in feet, and g is the acceleration due to gravity (32.2 feet per second squared). Plugging in the values, we get t = √(2*25/32.2) ≈ 1.42 seconds.
Air resistance, also known as drag, can decrease the speed of a falling ball. As the ball falls, it will encounter air molecules which create a force in the opposite direction of the ball's motion. This force will increase as the ball's speed increases, eventually balancing out with the force of gravity and causing the ball to reach a terminal velocity, or maximum speed.