A cat walks in a straight line, which we shall call the x -axis with the positiv

Question

A cat walks in a straight line, which we shall call thex-axis with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (the figure (Figure 1) ).

a)

Find the cat's velocity at t = 5.0 s .

Express your answer using two significant figures.(cm/s)

b)

Find the cat's velocity at t = 7.0 s .

Express your answer using two significant figures.(cm/s)

c)

What is the cat's acceleration at t=3.0s?

Express your answer using two significant figures.

d)

What is the cat's acceleration at t=6.0s?

Express your answer using two significant figures

e)

What is the cat's acceleration at t=7.0s?

Express your answer using two significant figures.

Explanation / Answer

accleration is constant for this motion

at t= 0 , vx = 8 cm/s
at t=6 s, vx = 0 cm/s

a = change in velocity / change in time
= (0-8)/(6-0)
= -4/3 cm/s^2

equation of v is = vo + a*t
= 8 - (4/3)*t
a)
at t = 5 s
v = 8 - (4/3)*t
= 8 - (4/3)*5
= 1.3 cm/s

b)
at t = 7 s
v = 8 - (4/3)*t
= 8 - (4/3)*7
= - 1.3 cm/s

c)
a = -4/3 = -1.3 cm/s^2

d)
a = -1.3 cm/s^2

e)
a = -1.3 cm/s^2

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