Finding the distance traveled when velocity varies 57
That can be plotted into a v-t graph, as shown below.
Let’s assume d is the distance traveled in time t; its value should be
equivalent to the area of a triangle with a base of t and height of at (which
equals the final velocity of the object).
d = ½at
2
You see?
Ummmm . . . oh, I see how that works! The value we get by calculating ½ ×
0.125 m/s² × (4 s)² = 1 m. As it should be!
Now, Ninomiya-san, you can also calculate a distance traveled in uniform
accelerated motion not by intuition but by the proper method.
t
v
v = at
0
Velocity
Time
t
at
0
Velocity
Time
Distance traveled (m)
= ½(t × at)
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