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.
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
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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