Mathematics, 31.03.2022 01:00 codycollier

A particle travels along a straight line from a point A on the line. Its velocity after t seconds is (48-3t)cm/s. If its distance from A after t seconds is s cm, find s in terms of t. Hence find the time that elapses before the particle is back again at A.

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Answer from: zoet1027

$\sf s=\left(24t-\dfrac32t^2\right) \ cm$

16 s

Step-by-step explanation:

Given:

s = su = 0v = 48 - 3ta = t = t

Substituting values into SUVAT formula to find s in terms of t:

$\sf s=\dfrac12(u+v)t$

$\implies \sf s=\dfrac12(0+48-3t)t$

$\implies \sf s=\dfrac12(48-3t)t$

$\implies \sf s=24t-\dfrac32t^2$

To find the time that elapses before the particle is back at A, set s to zero and solve for t:

$\sf \implies 24t-\dfrac32t^2=0$

$\sf \implies t(24-\dfrac32t)=0$

$\sf So \ t=0 \ and \ 24-\dfrac32t=0$

$\sf \implies 24-\dfrac32t=0$

$\sf \implies \dfrac32t=24$

$\sf \implies t=16$

Therefore, t = 0 and t = 16, so the time that elapses before the particle is back again at A is 16 s

Answer from: Quest

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

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