Question

t varies directly as the square of v and inversely as the aquare root of g. T = 20 when V = 5 and g = 16. find:
1. the formular connecting T, V and g
2. T when V = 15 and g = 25
3. g when T = 40 and V = 10

Answer 1

1. T = V^2 / g

plug in given values for solutions to 2. and 3.

Answer 2

UPDATE

1. T = k (V^2 / g) ... 20 = k (5^2 / √16) ... solve for k

plug in given values for solutions to 2. and 3.

Answer 3

"t varies directly as the square of v and inversely as the square root of g"
----> t = k (v^2/√g)

when T = 20 , V = 5 and g = 16

20 = k(25/4
k = 80/25

t = (80/25) v^2/√g

#2
find T when V = 15 and g = 25
t = (80/25)(225/5) = 144

#3. you try it

Answer 4

2.048