Apickup truck traveling at a speed of 44.0 mi/h needs a minimum of 47.0 ft to stop. if the same truck is traveling 75.0 mi/h, determine its minimum stopping distance (in ft), assuming the same rate of acceleration.

d = 136.7 ft

Explanation:

Because the truck move with uniformly accelerated movement we apply the following formula:

vf²=v₀²+2*a*d   Formula (1)

Where:  

d:displacement in meters (ft)  

v₀: initial speed in ft/s  

vf: final speed in ft/s  

a: acceleration in ft/s²

Data

v₀ = 44.0 mi/h

1milla = 5280 ft

1h = 3600 s

v₀ = 44*(5280 ft) / (3600 s) = 64.5 ft/s

vf = 0

d =  47.0 ft

Calculation of the acceleration of the truck

We replace data in the formula (1) :

vf²=v₀²+2*a*d

0 = (64.5)²+2*a*(47)

-(64.5)² = (94)*a

a = -(64.5)² / 94

a = - 44.26 ft/s²

The acceleration (a) it's negative (-) because the truck is braking

Calculation of the minimum stopping distance of the truck to v₀ = 75.0 mi/h

v₀ = 75 mi/h = 75* (5280 ft) / (3600s) = 110 ft/s

We replace v₀ = 110 ft/s and a = - 44.26 ft/s² in the formula (1):

vf²=v₀²+2*a*d

0 = (110)²+2*(-44.26)*d

88.52*d = (110)²

d = (110)² / (88.52)

d = 136.7 ft

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i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz