If a ball is thrown into the air with an initial velocity of 48 ft...

70.2K

Verified Solution

Question

Calculus

image

If a ball is thrown into the air with an initial velocity of 48 ft s its height in feet after t seconds is given by y 48t 16t a Find the average velocity of the ball in ft s for the time interval beginning at t 2 and lasting for each of the following 1 0 5 seconds 40 1 0 1 seconds 17 6 ii 0 05 seconds 16 8 iv 0 01 seconds 16 16 X ft s X ft s X ft s Bond X ft s b Use your answers from part a to estimate the instantaneous velocity in ft s when t 2 16 X ft s Enhanced Feedback Please try again When calculating the average velocity you are actually calculating the slope of the secant line between the two given points difference in height between the given times and divide by the change in time To estimate the instantaneous velocity look at what the average velocity approaches as the time difference gets smaller Need Help

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students