Applied Calculus Questions and Solutions

Description

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.