How to find velocity from a displacement time graph of variable velocity??
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Answers
Answer:
Compare the displacement-time equation for constant velocity with the classic slope-intercept equation taught in introductory algebra.
s = s0 + v∆t
y = a + bx
Thus velocity corresponds to slope and initial displacement to the intercept on the vertical axis (commonly thought of as the "y" axis). Since each of these graphs has its intercept at the origin, each of these objects had the same initial displacement. This graph could represent a race of some sort where the contestants were all lined up at the starting line (although, at these speeds it must have been a race between tortoises). If it were a race, then the contestants were already moving when the race began, since each curve has a non-zero slope at the start. Note that the initial position being zero does not necessarily imply that the initial velocity is also zero. The height of a curve tells you nothing about its slope.
On a displacement-time graph…
slope equals velocity.
the "y" intercept equals the initial displacement.
when two curves coincide, the two objects have the same displacement at that time.
Explanation:
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