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A wildebeest is running in a straight line, which we
shall call the x axis, with the positive direction to
the right. The figure below shows this animal's
velocity as a function of time. (Figure 1)

Which of the following statements must be true?

A)it is moving to the left between a and b and to the right between b and c
B)it’s acceleration is increasing
C)it’s speed is decreasing from a to b and increasing from b to c
D)it is moving to the right between a and c

A wildebeest is running in a straight line which we shall call the x axis with the positive direction to the right The figure below shows this animals velocity class=

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onyebuchinnaji

The acceleration of the wildebeest is increasing.

The vertical axis represents the velocity of the wildebeest.

The horizontal axis represents the time of motion of the wildebeest

The acceleration of an object is defined as the change in velocity per change in time of motion.

[tex]a = \frac{\Delta v }{\Delta t } = \frac{v_2 - v_1 }{t_2 - t_1}[/tex]

where;

  • [tex]v_2[/tex] is the final velocity, in the given chart = 0
  • [tex]v_1[/tex] is the initial velocity, in the given chart = a (in negative v-axis)
  • [tex]t_2[/tex] is the final time, in the given chart = b
  • [tex]t_1[/tex] is the initial time, in the given chart = 0

The acceleration of the wildebeest is calculated as;

[tex]a'= \frac{0- (-a) }{b - 0} \\\\a' = \frac{a}{b}[/tex]

In the given chart, you will notice that the acceleration of the wildebeest at time (0) is negative a (-a).

At time (b), the acceleration becomes positive with a value of [tex]\frac{a}{b}[/tex]

Thus, we can conclude that the acceleration of the wildebeest is increasing.

Learn more here: https://brainly.com/question/17280180

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