If a stone is thrown vertically with an initial speed u, its vertical displacement s after a time t has elapsed is given by the formula: s(t) = ut – gt*/2 (Air resistance has been ignored) %3D Model this equation with a simulink diagram to obtain a plot for the vertical displacement s with time t. Where g=9.8 , u=40.

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1. If a stone is thrown vertically with an initial speed u, its vertical displacement s after a
time t has elapsed is given by the formula:
s(t) = ut – gt/2
(Air resistance has been ignored)
Model this equation with a simulink diagram to obtain a plot for the vertical displacement s
with time t. Where g=9.8 , u=40.
Hints:
First, consider the blocks needed to build the model.
A Ramp block to input the time signal t, from the Sources library.
A Math function block (double click on it and select square) to get t, from the Math library.
A Gain block to multiply the input signal by u, from the Math library.
A Gain block to multiply the square of the input signal by g/2, from the Math library.
A Sum block to subtract the two quantities, also from the Math library.
A Scope block to display the output, from the Sinks library.
Next, gather the blocks into your model window. Note that the output will not display a
cleared output so right click on the display and select autoscale.
Transcribed Image Text:1. If a stone is thrown vertically with an initial speed u, its vertical displacement s after a time t has elapsed is given by the formula: s(t) = ut – gt/2 (Air resistance has been ignored) Model this equation with a simulink diagram to obtain a plot for the vertical displacement s with time t. Where g=9.8 , u=40. Hints: First, consider the blocks needed to build the model. A Ramp block to input the time signal t, from the Sources library. A Math function block (double click on it and select square) to get t, from the Math library. A Gain block to multiply the input signal by u, from the Math library. A Gain block to multiply the square of the input signal by g/2, from the Math library. A Sum block to subtract the two quantities, also from the Math library. A Scope block to display the output, from the Sinks library. Next, gather the blocks into your model window. Note that the output will not display a cleared output so right click on the display and select autoscale.
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