An experiment was done to determine a student's reaction time. Student A placed a meter stick between two of Student B's fingers. Student A called out when she let go of the meter stick. Student B caught the meter stick. Calculate reaction time?

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An experiment was done to determine a student's reaction time. Student A placed a meter stick between two of Student B's fingers. Student A called out when she let go of the meter stick. Student B caught the meter stick. Calculate reaction time?

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Answer 1 · 2014-10-21T14:58:00

$t = sqrt((2d)/g)$

Explanation:

The equation to determine your reaction time is derived from the kinematic formula:

$d$ $=$ $1/2*g*t^2$ ,

where:

$d$ = the distance the meter stick fell, in meters (divide cm by 100)
$g$ = the acceleration of gravity, $"9.81 m/s"^2$
$t$ = the time the meter stick fell, in seconds

To derive the formula for determining reaction time from the previous equation:

$1)$ multiply both sides times 2;

$2*d=cancel2*1/cancel2*g*t^2$

$2d=g*t^2$

$2)$ divide both sides by $g$ ;

$(2d)/g=cancelg*t^2/cancelg$

$3)$ take the square root of both sides.

$sqrt((2d)/g)=t$

Switch sides.

$t=sqrt((2d)/g)$

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An experiment was done to determine a student's reaction time. Student A placed a meter stick between two of Student B's fingers. Student A called out when she let go of the meter stick. Student B caught the meter stick. Calculate reaction time?

1 Answer

Explanation:

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