Home / Expert Answers / Advanced Physics / let-v-t-and-w-t-be-the-horizontal-and-vertical-components-respectively-of-the-velocity-of-a-batt-pa484

(Solved): Let v(t) and w(t) be the horizontal and vertical components, respectively, of the velocity of a batt ...



Let

v(t)

and

w(t)

be the horizontal and vertical components, respectively, of the velocity of a batted (or thrown) baseball. In the absence of air resistance,

v

and

w

satisfy the equations:

(dv)/(dt)=0,(dw)/(dt)=-g

a. Show that

v=ucosA,w=-gt usinA

where

u

is the initial speed of the ball and

A

is its initial angle of elevation. b. Let

x(t)

and

y(t)

be the horizontal and vertical coordinates, respectively, of the ball at time

t

. If

x(0)=0

and

y(0)=h

, find

x(t)

and

y(t)

at any time

t

. c. Suppose the outfield wall is at a distance

L

and has height

H

. Find a relation between

u

and

A

that must be satisfied if the ball is to clear the wall. d. Suppose that

L=350ft

and

H=10ft

. Using the relation in part (c), find the range of values of A that correspond to an initial velocity of

u=110f(t)/(s)

.



We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe