The acceleration due to gravity on earth is 32 ft/sec2. a tomato is dropped from 100 feet above the ground. give units in your answers. (a) at what speed does the tomato hit the ground? (b) how long does it take for the tomato to travel the last 10 feet? give your answer as a decimal approximation with units.

a) the final velocity is v=80 ft/s

b) the time required is 2.5 seconds

Step-by-step explanation:

The final velocity is related with the acceleration through

v² = v₀² + 2*g*h

where

v₀= initial velocity= 0 (dropped from test)

g = acceleration

h = height

replacing values

v² = v₀² + 2*g*h = 0² + 2*32 ft/s² * 100 ft = 6400  ft²/s²

then

v= √6400  ft²/s² = 80 ft/s

the tomato hit the ground at v=80 ft/s

h₀= h + v₀*t - 1/2*g*t²  

since h₀=0 ( initial height) and v₀=0

0= h - 1/2*g*t²  

t = √(2*h/g)

replacing values

t = √(2*h/g) = √(2*100 ft / 32 ft/s²) = 10/4 s =2.5 s

t =2.5 seconds

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.