The equation is s=144t - 16t², s being the distance and V=144 ft/s
a)The maximum (or minimum) is reached when the derivative of s = 0
s' = 144 - 32t = 0 and t= 9/2 or 4.5 second (time needed to reach the max
Now plug t= 4.5 in the original equation and you will find s = 324 ft
(Why it's a max and not a minimum: because 2nd derivative is negative and equals s" = -32)
b) Velocity of the ball: distance (up) s=320 ft, time that means:
320 =144t - 16t² (solve for x) -16t²+144t-320 = 0, t₁ =4 and t₂ =5 (t₂ is not valid since max time to reach summit is 4.5) so t =4s , distance = 320. so the velocity at 320ft is 320/4 = 80 ft/s
c) Due to the symmetry of the parabola, the velocity at 320 ft on its way down = 80 ft/s
Answer:
-1
Step-by-step explanation:
96=84-12r
96-84=-12r
12=-12r
-1=x
x=-1
Answer:
43
Step-by-step explanation:
Answer:
I believe the answer is 324cm³
just do length x width x height divided by 2
9 x 6 x 12= 648
648÷2=324
I hope this helps dude :)
4) split this into two shapes, a rectangle and a triangle...
Rectangle: base(height)
14(7)=98
Triangle: 1/2base(height)
Find the height: 14-7=7
1/2(14)(7)=49
Add them together: 98+49=147
147in^2
5) split this into two shapes, a square and a triangle...
Square: base(height)
20(20)=400
Triangle: 1/2base(height)
1/2(20)(10)=100
Add them together: 400+100=500
500m^2
6) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
6(5)=30
Triangle: 1/2base(height)
1/2(6)(3)=9
Add them together: 30+9=39
39yd^2
7) I can't see the number behind the m. Please tell me what it is and then I'll help you!
8) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
5(2)=10
Triangle: 1/2base(height)
1/2(5)(3)=7.5
Add them together: 10+7.5=17.5
17.5ft^2
9) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
13.5(18)=243
Triangle: 1/2base(height)
1/2(13.5)(9)=60.75
Add them together: 243+60.75=303.75
303.75cm^2
I hope this helps:)
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