The tabulated values of height, h , when the ball from the ground level is kicked upwards with the initial velocity of 48 feet per second such that, the height as a function of time is represented as h t = − 16 t 2 + 48 t for 0 ≤ t ≤ 3 , t 0 0.5 1 1.5 2 2.5 3 h and determine whether the ball reaches the height of 64 feet or not as given below.
The tabulated values of height, h , when the ball from the ground level is kicked upwards with the initial velocity of 48 feet per second such that, the height as a function of time is represented as h t = − 16 t 2 + 48 t for 0 ≤ t ≤ 3 , t 0 0.5 1 1.5 2 2.5 3 h and determine whether the ball reaches the height of 64 feet or not as given below.
Solution Summary: The author calculates the tabulated values of height, h, when the ball from the ground level is kicked upwards with the initial velocity of 48feet per second.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Chapter 4.2, Problem 77E
( a)
To determine
To calculate:The tabulated values of height, h, when the ball from the ground level is kicked upwards with the initial velocity of 48 feet per second such that, the height as a function of time is represented as ht=−16t2+48t for 0≤t≤3,
t00.511.522.53h
and determine whether the ball reaches the height of 64 feet or not as given below.
( b)
To determine
Whether the ball reaches a height of 64 feet or not when the height as a function of time is represented as ht=−16t2+48t for 0≤t≤3, algebraically.
( c)
To determine
To graph:The provided function ht=−16t2+48t, and determine graphically whether the ball reaches the height of 64 feet or not.
( d)
To determine
The comparison between the results obtained in part a,b and c for the ball to reach a height of 64 feet, when the height with respect to time function is given as ht=−16t2+48t for 0≤t≤3.
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