Question 235911
Velocity of a bullet. A gun is fired straight upward. The bullet leaves the gun at 100 feet per second (time t 0). After 2 seconds the velocity of the bullet is 36 feet per second. There is a linear equation that gives the velocity v in terms of the time t. Find the equation and find the velocity after 3 seconds.
;
Assign the given values as follows
x1=0 y1=100
x2=2 y2=36
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find the slope: m = {{{(36 - 100)/2}}} = -32 ft/sec
:
y - y1 = m(x-x1)
y - 100 = -32(x - 0)
y = -32x + 100; 
V(t) = -32t + 100; the equation
:
after 3 sec, (t=3)
V = -32(3) + 100
V = -96 + 100
V = 4 ft/sec