anonymous
  • anonymous
A ball is dropped from a height of 300 feet. Its velocity after t seconds is v=-32t ft/s A) How fast is the ball dropping after 4 seconds (i got -128, i want to make sure) B)Determine the position function C) How far has the ball dropped after 4 seconds D)How many seconds will it take for the ball to hit the ground
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Shayaan_Mustafa
  • Shayaan_Mustafa
lol. it classical physics. you should post in physics group.
anonymous
  • anonymous
...this is calculus
Shayaan_Mustafa
  • Shayaan_Mustafa
is this? which book?

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Shayaan_Mustafa
  • Shayaan_Mustafa
ok let us solve this. be here.
anonymous
  • anonymous
calculus seventh dition
Shayaan_Mustafa
  • Shayaan_Mustafa
howard anton?
anonymous
  • anonymous
Larson Hostetler Edwards
amistre64
  • amistre64
the velocity is slowing down after you drop it?
amistre64
  • amistre64
acceleration due to gravity is defined in feetric measure as: -32ft/^2 a constant rate so: a(t) = -32 velocity is the integration of acceleration: {S} a(t) = v(t) = -32t + c , and we are given that at t=4 v= -32 -32 = -32(4) + c -32+32(4) = c 32(4-1) = c = 96 v(t) = -32t +96 the integration of velocity gives us position {S} v(t) = h(t) = -16t^2 +96t +c
anonymous
  • anonymous
no the negative would mean that the ball is heading toward the earth
amistre64
  • amistre64
yeah, i saw that afterwards :) when time (t) = 0 we are at a height of 300 sooo 300 = -16(0)^2 + 96(0) + c ; hence c = 300 h(t) = -16t^2 +96t +300
amistre64
  • amistre64
i got some of the information mixed up fromthis tiny little screen
amistre64
  • amistre64
the 96 is bad; spose we are simply dropping the ball; giving it no initial velocity; the that part goes to 0
amistre64
  • amistre64
h(t) = -16t^2 + 300 v(t) = -32t a(t) = -32
amistre64
  • amistre64
so v(4) = -128
amistre64
  • amistre64
the rest of it is just filling in the numbers i believe
anonymous
  • anonymous
so what is the velocity in the position function?
amistre64
  • amistre64
initial velocity is zero inthe position function
amistre64
  • amistre64
if we throw the ball; that gives it an inital velocity other than zero; simply letting it drop imparts no velocity and lets gravity do all the work
anonymous
  • anonymous
ok i got it thanks
amistre64
  • amistre64
yw

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