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4) Playing Golf in

4) Playing Golf in

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Please answer Parts I,J and K of question 4.
**Playing Golf in Scotland** According to the Guinness World Records, the fastest golf drive was achieved by Maurice Allen (USA) at the Americas Golf Outlet in Orlando, Florida, on March 3rd, 2012. It was a stunning \( v = 94.322 \, \text{m/s} \) (about 211 mph), and made an angle of \( \theta = 45^\circ \) with the horizontal. You get to play with Maurice on a nice and flat golf course in Scotland. Imagine you manage to hit the exact same golf ball with the exact same speed and angle as when Maurice achieved the record in 2012. However, the golf course is far smaller than the one in Florida and after the strong drive the ball flies off the course and into the ocean which lies at a height \( H = 140 \, \text{m} \) below the golf course. The aerodynamic lift on the golf ball (due to its fast spin and dimpled design) keeps the ball longer in the air, so please assume that this effect cancels the negative effects of air drag thus giving the golf ball the same path as a projectile in the absence of the atmosphere.
Transcribed Image Text:**Playing Golf in Scotland** According to the Guinness World Records, the fastest golf drive was achieved by Maurice Allen (USA) at the Americas Golf Outlet in Orlando, Florida, on March 3rd, 2012. It was a stunning \( v = 94.322 \, \text{m/s} \) (about 211 mph), and made an angle of \( \theta = 45^\circ \) with the horizontal. You get to play with Maurice on a nice and flat golf course in Scotland. Imagine you manage to hit the exact same golf ball with the exact same speed and angle as when Maurice achieved the record in 2012. However, the golf course is far smaller than the one in Florida and after the strong drive the ball flies off the course and into the ocean which lies at a height \( H = 140 \, \text{m} \) below the golf course. The aerodynamic lift on the golf ball (due to its fast spin and dimpled design) keeps the ball longer in the air, so please assume that this effect cancels the negative effects of air drag thus giving the golf ball the same path as a projectile in the absence of the atmosphere.
**Physics Problem Set: Projectile Motion** **Questions:** 1) **Horizontal Distance Problem:** - **Question:** What horizontal distance (\(\Delta x\)) (from its launch site to the spot on the ocean where it lands) does the golf ball cover during its flight? 2) **Vertical Velocity Component:** - **Question:** What is \(v_{fy}\), the *y-component* of the final velocity vector \(\vec{v}_f\), right before impact with the ocean waters? 3) **Magnitude of Final Velocity:** - **Question:** What is the *magnitude* of the final velocity vector \(\vec{v}_f\) right before impact with the ocean waters? **Instructions:** Complete the calculations based on the given parameters of the projectile motion problem and enter your final answers in the provided spaces. Use the appropriate equations of motion to solve each part. --- **Note:** This problem set is designed for educational purposes to help understand the principles of projectile motion, including calculating horizontal distance, vertical velocity components, and overall velocity magnitude.
Transcribed Image Text:**Physics Problem Set: Projectile Motion** **Questions:** 1) **Horizontal Distance Problem:** - **Question:** What horizontal distance (\(\Delta x\)) (from its launch site to the spot on the ocean where it lands) does the golf ball cover during its flight? 2) **Vertical Velocity Component:** - **Question:** What is \(v_{fy}\), the *y-component* of the final velocity vector \(\vec{v}_f\), right before impact with the ocean waters? 3) **Magnitude of Final Velocity:** - **Question:** What is the *magnitude* of the final velocity vector \(\vec{v}_f\) right before impact with the ocean waters? **Instructions:** Complete the calculations based on the given parameters of the projectile motion problem and enter your final answers in the provided spaces. Use the appropriate equations of motion to solve each part. --- **Note:** This problem set is designed for educational purposes to help understand the principles of projectile motion, including calculating horizontal distance, vertical velocity components, and overall velocity magnitude.
Expert Solution
Step 1

Given:

Angle θ=43o

Initial velocity is vi=94.322m/s

x component of initial velocity is vix=vi*cos43o=68.98m/s 

y component of initial velocity is viy=vi*sin43o=64.33

height is H=140m

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