Reaction time tests can be used to assess an individual’s hand-eye coordination. One test involves catching a 1 metre ruler and measuring the distance, d in metres, that the ruler travelled before being caught. The reaction time t seconds is then calculated using the formula:

= √2d/9.8

(a) Simplify the expression 2d/9.8 under the square root sign to d/?

(b) Calculate the reaction time if the distance the ruler fell before being caught was
44cm.

(c) Make d the subject of the equation, remembering to use your simplified version of
2d/9.8 which you found in part (a).

(d) Use your equation from part (c) to find the distance the ruler should fall before being caught if t is half the value you found in part (b), i. e. half the time taken to catch the ruler when it fell 44 cm.

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system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

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step-by-step explanation:

the answer is k.

its the middle point.

good luck.