Question
upstudy study bank question image url

A golf ball is hit with an invilal velocily of 140 feef per second al an inclination of \( 45^{\circ} \) io the horizontal in physics, is established trat I \[ h(x)=\frac{-32 x^{2}}{140^{2}}+x \] where x is the horizontal dislance that the goif ball has traveled. Complele parts (a) through (g) (a) Determine the height of the ooll ball after it has tavelod 100 teet \( \mathrm{h}=83.67^{\circ} \) leel (Round to two decmal places as needed.) (b) What is the heighl after it has traveled 200 leet? \( h=134.60 \) feet (Round to wo decimal places as needed.) (c) What is \( \mathrm{n}(350) \) ? interprel ihis value. \( n(350)= \) \( \square \) freat (Round to two decmal places as needed.)

Ask by Rodriquez Mills. in the United States
Mar 15,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

**(a) Height at 100 feet:** \( h(100) = 83.67 \) feet **(b) Height at 200 feet:** \( h(200) = 134.60 \) feet **(c) \( h(350) = 150.00 \) feet** This means the golf ball is 150 feet above the ground after traveling 350 feet horizontally.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

In the world of projectile motion, the fascinating journey of a golf ball can be traced back to ancient civilizations. The mathematical principles we use today, like parabolas and functions, find their roots in the works of illustrious thinkers like Archimedes and Galileo. They laid the groundwork that helps us understand the trajectory of objects—before they even thought of hitting a ball! To deepen your understanding, consider how this theoretical knowledge is applied in real-world scenarios like designing golf courses. Engineers and architects use projectile motion principles to optimize green placements and course layouts, ensuring challenging yet fair play. Plus, they calculate safety measures for spectators and nearby structures. So the next time you tee off, remember that physics is at play in every swing!

Related Questions

Latest Physics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy