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tronter
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[SOLVED] Measuring acceleration of gravity
The acceleration of gravity can be measured by projecting a body upward and measuring the time that it takes to pass two given points in both directions.
Show that if the time the body takes to pass the horizontal line [tex] A [/tex] in both directions is [tex] T_A [/tex], and the time to go by a second line [tex] B [/tex] in both directions [tex] T_B [/tex], then, assuming that the acceleration is constant, its magnitude is [tex] g = \frac{8h}{T_{A}^{2} - T_{B}^{2}} [/tex] where [tex] h [/tex] is the height of line [tex] B [/tex] above line [tex] A [/tex].
I am not sure how to approach this. I know that [tex] g = 9.8 [/tex]. The path the body takes is a parabola. And [tex] a = \dot{v} [/tex].
Homework Statement
The acceleration of gravity can be measured by projecting a body upward and measuring the time that it takes to pass two given points in both directions.
Show that if the time the body takes to pass the horizontal line [tex] A [/tex] in both directions is [tex] T_A [/tex], and the time to go by a second line [tex] B [/tex] in both directions [tex] T_B [/tex], then, assuming that the acceleration is constant, its magnitude is [tex] g = \frac{8h}{T_{A}^{2} - T_{B}^{2}} [/tex] where [tex] h [/tex] is the height of line [tex] B [/tex] above line [tex] A [/tex].
Homework Equations
The Attempt at a Solution
I am not sure how to approach this. I know that [tex] g = 9.8 [/tex]. The path the body takes is a parabola. And [tex] a = \dot{v} [/tex].
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