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Applied Calculus – We throw a ball upwards

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Title: Applied Calculus
Published/Last Updated: 2020
Total Pages: 3
Word Count (Excluding Exec Summary, references): Approx 500 words
References: Not Included
Paper Type: Research Paper Example/ Maths solutions
File Type: MS Word
Download Limit: Unlimited
Download Link Expiry: 60 Days

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Description

We throw a ball upwards – This document contains the worked out solutions to the following questions:

We throw a ball upwards. Its height h (in meters), t seconds after its launch is given by the following equation

h(t) = –t2 +50t+1

  • Find the initial height of the ball. Round your answer to 4 decimals if needed and show your calculations. Use the correct notation.
  • Find at what time the speed of the ball is zero and find the height of the ball at this moment. Round your answer to 4 decimals if needed and show your calculations. Use the correct notation.
  • Use the derivative to find the speed of the ball precisely when it will touch the ground after its launch. Round your answer to 4 decimals if needed and show your calculations. Use the correct notation.
  • Calculate the speed and the acceleration of the ball 3 seconds after its launch. Round your answer to 4 decimals if needed and show your calculations. Use the correct notation. Here is a preview of the document. 
  • Interpret the results of c in the context of the problem. You must write an interpretation ….

We throw a ball upwards. Its height h (in meters)

Solutions

  • Find the initial height of the ball. Round your answer to 4 decimals if needed and show your calculations.

a) Initial height of the ball

Initial height is when time t = 0

h(t) = –t2 +50t+1

h = -02 +50 x 0+1 = 1

h = 1 meter

b) Time at which speed of the ball is zero, and height of the ball at this moment. Round your answer to 4 decimals if needed and show your calculations.

Speed s = …..

Solutions: t = 25 seconds, h = 626 meters

Find all worked out (well explained) solutions  to the above questions. 

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