at the same time, mins little brother throws a baseball from a height of 4 feet with an initial vertical…
at the same time, mins little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second. what polynomial models the height of this ball, in feet? -16t² + t +
Answer
Explanation:
Step1: Recall the height - time formula
The general formula for the height $h(t)$ of an object in vertical - motion under the influence of gravity is $h(t)=-16t^{2}+v_{0}t + h_{0}$, where $-16$ is half of the acceleration due to gravity in feet per second squared ($a=- 32\ ft/s^{2}$, so $\frac{a}{2}=-16$), $v_{0}$ is the initial vertical velocity, and $h_{0}$ is the initial height.
Step2: Identify the initial velocity
The initial vertical velocity $v_{0}$ is given as 20 feet per second. This value will be the coefficient of the $t$ term in the polynomial.
Step3: Identify the initial height
The initial height $h_{0}$ is given as 4 feet. This value will be the constant term in the polynomial.
Answer:
$-16t^{2}+20t + 4$