Find the maximum height of arrow using given function.
Give complete solutions for the following. An arrow is fired into the air. The height h of the arrow, in meters, at any time t, in seconds, is given by h = 51.3t + 1.6 - 4.9t2.
i) Construct a table of values and graph the function.
ii) Using your graph or table of values, answer the following questions:
- What is the maximum height reached by the arrow?
- When does the arrow strike the ground?
- When is the arrow at a height of 100 M?
iii) Using algebraic methods, answer the following questions:
- When does the arrow strike the ground?
- When is the arrow at a height of 100 M?
iv) Why do the answers you obtained for parts ii) and iii) differ slightly?