Both distances in a given time and magnitude of the acceleration at a given instant can be determined from a speed-time graph of a particle traveling in a straight line, therefore the correct option is option D.
What are the three equations of motion?
There are three equations of motion given by Newton
The first equation is given as follows
v = u + at
the second equation is given as follows
S = ut + 1/2×a×t²
the third equation is given as follows
v² - u² = 2×a×s
The area under the speed-time graph represents the distance covered by the object while the slope of the speed-time graph gives the acceleration of the object.
Thus, both distances in a given time and the magnitude of the acceleration at a given instant can be determined from a speed-time graph of a particle traveling in a straight line, therefore the correct option is option D.
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