SOLUTION: Consider Joseph in the pit.His bright idea is to lasso a post on the edge and pull himself out before ither his brothers notice or the roving band of ishmaelites appear. if the end
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-> SOLUTION: Consider Joseph in the pit.His bright idea is to lasso a post on the edge and pull himself out before ither his brothers notice or the roving band of ishmaelites appear. if the end
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Question 194176: Consider Joseph in the pit.His bright idea is to lasso a post on the edge and pull himself out before ither his brothers notice or the roving band of ishmaelites appear. if the end of the rope starts at the end of the pit and follows the equation.
S=-16(t-6)^2+4
Were S stands for the distance in feet above ground level(above ground level is positive and bellow is negative.)
t, stands for the time in seconds after he throws the rope.
The velocity at any time t, is given by
V=-32(t-6)were v, is measured in feet per second
1.graph the equation S(t)for all sensible values of t
2 with what initial valocity did joseph throw the rope
3 at what time is the velocity 0
4 what is the maximum hight the rope attains.
5 how mant seconds does it take for the rope to land on the ground above him
6 what is the velocity when the rope lands on the ground
7 what is the initial value of S
8 how deep is the pit
9 if the post is 5 ft high dose Joseph escape or is he sold to the ishmaelites
You can put this solution on YOUR website! Consider Joseph in the pit.His bright idea is to lasso a post on the edge and pull himself out before ither his brothers notice or the roving band of ishmaelites appear. if the end of the rope starts at the end of the pit and follows the equation.
S=-16(t-6)^2+4
Were S stands for the distance in feet above ground level(above ground level is positive and bellow is negative.)
t, stands for the time in seconds after he throws the rope.
The velocity at any time t, is given by
V=-32(t-6)were v, is measured in feet per second
1.graph the equation S(t)for all sensible values of t
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2 with what initial valocity did joseph throw the rope
S(t) = -16(t^2-12t+36+4
S(t) = -16t^2 -16*-12t -16*36 + 4
S(t) = -16t^2 +192t - 572
Initial velocity: 192 feet per second
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3 at what time is the velocity 0
At the vertex which occurs when t = -b/2a = -192(2*-16) = 6 seconds
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4 what is the maximum hight the rope attains.
S(6) = 4 ft. above the rim of the hole
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5 how many seconds does it take for the rope to land on the ground above him?
-16t^2 +192t -572 = 0
4t^2 - 48t + 143 = 0
t = 6.5 seconds
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6 what is the velocity when the rope lands on the ground
Using calculus, S'(t) = -32t + 192 is the velocity at an time "t".
S'(6.5) = -32*6.5 + 192 = -16 feet per second
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7 what is the initial value of S
If initial means S(0), it is -572
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8 how deep is the pit
572 feet
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9 if the post is 5 ft high dose Joseph escape or is he sold to the ishmaelites
The rope falls short by one foot; Joseph stays in the pit.
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Cheers,
Stan H.
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