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:
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Step-by-step explanation:
Answer:
Sorry sis don't know the answer
Im assuming they are travelling in opposite directions. if so the combined speed = 37 mph so the distance between them after 3 hours is 3 * 37
= 111 miles Answer
All circles are similar.
If they were congruent, they would have the same radius's/diameter's.
Circle B = diameter of 6
Circle A = radius of 4
Diameter = 2 * Radius
Circle A = diameter of 4 * 2 = 8
So they have different diameter's, therefore they are not congruent. So they are similar only.
