Chapter 8, Problem 79RE

(a)

To determine

To calculate: The parametric equations that model the path of the baseball if Batsman hits the baseball when it is $3.2\text{ft}$ above the ground, leaving the bat with $118\text{ft}\text{per}\text{sec}$ at an angle of $27°$ with respect to the ground, that is

$h=3.2,v=118,\theta =27°$

(b)

To determine

To calculate: The rectangular equation that models the path of the baseball if Batsman hits the baseball when it is $3.2\text{ft}$ above ground, leaving the bat with $118\text{ft per}\text{sec}$ at an angle of $27°$ with respect to the ground.

$h=3.2,v=118,\theta ={27}^{°}$

From part (a): $x=(118\cos 27°)t\text{and}y=(118\sin 27°)t-16t^2+3.2$

(c)

To determine

To calculate: The time of flight of baseball and the horizontal distance covered by it if Batsman hits the baseball when it is $3.2\text{ft}$ above the ground, leaving the bat with $118\text{ft}\text{per}\text{sec}$ at an angle of ${27}^{°}$ with respect to the ground.

$h=3.2,v=118,\theta ={27}^{°}$..…. (1)

From part (a): $x=(118\cos 27°)t\text{and}y=(118\sin 27°)t-16t^2+3.2$