An object falls freely in a straight line and experiences air resistance proportional to its? speed; this means its acceleration is ? a(t)=? ? kv(t), where k is a positive constant and v is the? object's velocity. the speed of the object decreases from 800 ft/s to 700ft/s over a distance of 1400 ft. approximate the time required for this deceleration to occur?

t = 1.068 s

Step-by-step explanation:

given,

a(t) =- k v(t)

speed of the object decreases from 800 ft/s to 700 ft/s

distance = 1400 ft

time for deceleration = ?

a(t) =- k v(t)

integrating both side

..........(1)

since,

from equation 1

putting value of k in equation (1)

t = 1.068 s

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

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