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a golf ball is hit at a 5 degree angle and lands 58.9796 meters away, what is the inital speed?

by Prof. Dallin Grant II Published 2 years ago Updated 1 year ago

How do you find the initial velocity of a golf ball?

3:274:14Calc III: Finding initial velocity of a golf ball thrown given its range - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo V naught initial velocity is 600 over T and T is root 150 over 4 use your calculator and it givesMoreSo V naught initial velocity is 600 over T and T is root 150 over 4 use your calculator and it gives us the initial velocity that's what was asking feet per second.

How do you calculate the speed with which the ball hits the surface?

Calculate the final free fall speed (just before hitting the ground) with the formula v = v₀ + gt = 0 + 9.80665 * 8 = 78.45 m/s . Find the free fall distance using the equation s = (1/2)gt² = 0.5 * 9.80665 * 8² = 313.8 m .

How fast is a golf ball going when it lands?

Typically for a 100mph swing speed (using an 11-degree lofted driver, a 200-gram head weight, a 0.825 COR, and a perfect on-center hit), the ball velocity at impact will be approximately 148 mph. But by the time the ball hits the ground, the ball's speed has dramatically dropped to only 47.5 mph!

How do you find the velocity of a projectile with angle and distance?

0:508:04Calculating Initial Speed of Projectile Given Starting Height ... - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe get the Y component of the velocity is V zero times the sine of 35 degrees. And we can find theseMoreWe get the Y component of the velocity is V zero times the sine of 35 degrees. And we can find these numbers on a calculator the cosine of 35 degrees is 0.819. The sine of 35 degrees is 0.5.

How do you calculate velocity?

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

What is the formula for finding the speed of an object?

You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

How do you measure the speed of a golf ball?

How to Estimate Golf Club SpeedHit 20 golf balls with your driver at your local practice range and record the distance the drives carried. ... Subtract a “roll factor” from the drive average to determine the distance of carry for your drives. ... Divide the distance by 1.75, which will provide the ball speed at impact.More items...

What is the average speed of a golf ball?

Club Speed for Average Male GolfersClub Speed = 93.4 mphAMA (Actual)AMA (Optimal)Ball Speed (mph)132.6140.1Launch Angle (deg)12.614.7Spin Rate (rpm)32752300Carry (yds)204 (normalized)2282 more rows

What is the exit velocity of a golf ball?

The average ball speed in professional golf is over 170 mph At 157.57 miles per hour, even the “slowest” ball striker on the PGA Tour has an average speed that's significantly faster than Novak Djokovic's average speed serve at 2022 Wimbledon and the maximum exit velocity of Aaron Judge's hardest-hit career home run.

How do you calculate projectile distance?

The equation for the distance traveled by a projectile being affected by gravity is sin(2θ)v2/g, where θ is the angle, v is the initial velocity and g is acceleration due to gravity. Assuming that v2/g is constant, the greatest distance will be when sin(2θ) is at its maximum, which is when 2θ = 90 degrees.

How do you solve projectile motion problems with angles?

1:349:50Solving Angle-Launched Projectile Problems - YouTubeYouTubeStart of suggested clipEnd of suggested clipLike vo equal 32 meters per second the third step is you identify the unknown variable you'd sayMoreLike vo equal 32 meters per second the third step is you identify the unknown variable you'd say something like dx equal question mark the fourth. Step is you pick your formula.

How do you solve for final velocity?

If you know the acceleration rate of the object, you can find the final velocity using the formula vf (final velocity) = vi (initial velocity) + a(t) (acceleration x time).

How fast is an object moving when it hits the ground?

Speeding up While Falling Down Gravity causes an object to fall toward the ground at a faster and faster velocity the longer the object falls. In fact, its velocity increases by 9.8 m/s2, so by 1 second after an object starts falling, its velocity is 9.8 m/s.

How do you find the velocity of a falling object?

To find out something's speed (or velocity) after a certain amount of time, you just multiply the acceleration of gravity by the amount of time since it was let go of. So you get: velocity = -9.81 m/s^2 * time, or V = gt. The negative sign just means that the object is moving downwards.

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