the height of the elevator as a function of time when an elevator is 400 feet above the ground. It descends at a steady rate. After 15 seconds it is 250 feet above the ground.
Is it reasonable to include negative numbers in the range?
Is it reasonable to include negative numbers in the range?
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The height function is given by
h(t) = at + h0, where h(t) is the height in ft., a is the velocity factor, t is time in secs. and h0 is the initial height in ft.
t = 15 secs.
h(t) = 250 ft.
Subbing,
250 = a(15) + 400
15a = 250 - 400
15a = - 150
a = - 150 / 15
a = - 10
Height Function for this Problem:
h(t) = - 10t + 400
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
h(t) = at + h0, where h(t) is the height in ft., a is the velocity factor, t is time in secs. and h0 is the initial height in ft.
t = 15 secs.
h(t) = 250 ft.
Subbing,
250 = a(15) + 400
15a = 250 - 400
15a = - 150
a = - 150 / 15
a = - 10
Height Function for this Problem:
h(t) = - 10t + 400
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
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Hi,
IF the elevator is at a height of 400 feet at time 0 and it only goes down, then the equation to give its height after x seconds is y = -10x + 400. <==ANSWER
I hope that helps!! :-)
IF the elevator is at a height of 400 feet at time 0 and it only goes down, then the equation to give its height after x seconds is y = -10x + 400. <==ANSWER
I hope that helps!! :-)
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the range shouln't have negative numbers unless you are reffering to the falling speed
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yes