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16_Practice Quiz in Mathematics_College Algebra_Trigonometry_Probability and Statistics_Calculus with Answer and Solution $7.99   Add to cart

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16_Practice Quiz in Mathematics_College Algebra_Trigonometry_Probability and Statistics_Calculus with Answer and Solution

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This note provides practice quizzes in Mathematics including Algebra, Trigonometry, Probability and Statistics and Calculus for Engineering students.

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  • May 2, 2023
  • 12
  • 2018/2019
  • Class notes
  • Engr. milan
  • All classes
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Refresher - MATHEMATICS Quiz 16
PROBLEM 1:

A tennis ball is thrown vertically downward from a height of 54 ft with an initial velocity of 8
fps. What Is the impact velocity of it hits a 6 ft. tall person on the head?

Solution:
v(t) = ∫ a(t)dt
V1= 8 fps
v(t) = - 32 t + c1
when v 0 = - 8
t=0
- 8 = c1
c1 = - 8 48
54
v(t) = - 32t - 8
s(t) = ∫ ( - 32t - 8)dt V2= ?
s(t) = - 16t 2 - 8t + c 2
6’
When s = 54
t=0
54 = - 16t 2 - 8t + c 2
54 = 0 + c 2
c 2 = 54
when s = 6
6 = - 16t 2 - 8t = 54
v(t) = - 32 + c1
2
16t + 8t - 48 = 0
32(3)
8(2t 2 + t - 6) = 0 v(t) = - -8
2
(2t 2 - 3)(t + 2) = 0
v(t) = - 56 fps.
t = 3/2 sec.

, Refresher - MATHEMATICS Quiz 16
PROBLEM 2:

In triangle ABC, AB = 30 m., BC = 36 m. and AC = 48 m. has an area
equal to 539.32 m2. How far is the point of intersection of the
perpendicular bisectors from A?


Solution:
B



30 r
36

r r
A
48 C




abc
A=
4r
(36)(48)(30)
539.32 =
4r
r = 24.03 m. from A

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