As an astronaut visiting the Planet X, you\'re assigned to measure the free-fall

Question

As an astronaut visiting the Planet X, you're assigned to measure the free-fall acceleration Getting out your meter stick and stop watch, you time the fall of a heavy ball from several heights Your data are as follows h (m) Height, h (m) Fall time, t (s) h (3.73 m/s)/-0.01 m 0.0 1.0 2.0 3.0 4.0 5.0 0.00 0.54 0.72 0.91 1.01 1.17 0.0 0.2 0.4 0.6 0.8 .0 1.2 4 1.6 Graphing either h versus t or t versus h gives a straight line. In the graph shown above, we chose to plot h on the vertical axis and t2 on the horizontal axis because the theoretical kinematic equation gives position as a function of time. From the equation for the line of best fit given calculate the free-fall acceleration on Planet X? Express your answer using two significant figures and appropriate units | #x= Value Units

Explanation / Answer

By newton equation of motion

S=ut+0.5at^2

In free fall

u=0

S=0.5*a*t^2

Comparing we got

0.5a=3.73

a=7.46 m/s^2

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