Question

Determine the acceleration v. time and position v. time graphs from the given velocity v. time graphs. 七 七 →七

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Answer #1

In order to interpret these VT graphs into at graphs we find the slopes of the curve and check its concavity and convexity.

Since, we know that dv/dt=a and d2v/dt2= da/dt we can use these facts to determine the slope and sign of the acceleration time graph.

The concavity of the graph tells us if d​​​​​​2​​​​​v/dt​​​​​2 is positive or negative. I e. If

Concave upwards then it is positive else if concave downwards then it is negative. Using these facts the corresponding graphs have been determined below as mentioned-

「NCE Paurt olt VPWARPS CONCAVE dowNWARDS 0 dut七 CONCAVE Da INWARDS olt 〉.la20 | ONCArle UfWARDS altdlo 七 사Part I 蚁 〉。 CONCAVE UPwand dt Kydt つda <0 tolt 七

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