Class Management I Help Chapter 3 Begin Date: 5/24/2016 12:00:00 AM Due Date: 5/

Question

Class Management I Help Chapter 3 Begin Date: 5/24/2016 12:00:00 AM Due Date: 5/28/2016 i 00:00 AM End Date: 5131/2016 12:00:00 AM angle 6 above horizontal Assume the ball leaves the quarterback's hand at ground level and moves without air resistance. All portions of this problem will produce algebraic expressions in terms of v,0, and g.Let the origin of the Cartesian coordinate system be the ball's initial position. 33% Part (a) Write an expression for the magnitude of the football's initial vertical velocity voy. 33% Part (b) Find an expression for the magnitude of the football's initial horizontal velocity vor. 4 33% Part (c) Write an expression for the total time, t the football is in the air. toral 4 5 6 1 2 3 give up! Submit otheexpertta.com Grade Summary tial 100% Submissions Attempts remaining: (4' per attempt detailed view

Explanation / Answer

a) v = initial velocity

so, v0y = projection of v along y-axis= v*cos(900 - )=v*sin()

b) similarly,

so, v0x = projection of v along x-axis= v*cos()

c) let ttotal be the total time of flight

Now, let us focus on the vertical motion of the football.

Let t be the time taken by football to reach the maximum height, so we can also see that, since the feild is level and air resistance is ignored, due to symmetry, it takes the same time to come down as it takes to go up,

ttotal = 2*t .........................(i)

when ball is at it highest position, its instantaneous vertical velocity, vy (t) = 0

so, if vertical acceleration be -g (due to gravity) while it goes up,

(vy (t)- v0y)/t = -g;

and, v0y= v*cos(900 - )=v*sin() (from a))

=> (0-v*sin())/t = -g

=> t= v*sin()/g

Also, ttotal = 2*t (from (i))

=> ttotal = 2*v*sin()/g

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