Solution Found!
Answer: A cat walks in a straight line, which we shall
Chapter 2, Problem 30E(choose chapter or problem)
A cat walks in a straight line, which we shall call the x-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 (Fig. E2.30).
(a) Find the cat’s velocity at t = 4.0 s and at t = 7.0 s.
(b) What is the cat’s acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s?
(c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s?
(d) Sketch clear graphs of the cat’s acceleration and position as functions of time, assuming that the cat started at the origin.
Questions & Answers
QUESTION:
A cat walks in a straight line, which we shall call the x-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 (Fig. E2.30).
(a) Find the cat’s velocity at t = 4.0 s and at t = 7.0 s.
(b) What is the cat’s acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s?
(c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s?
(d) Sketch clear graphs of the cat’s acceleration and position as functions of time, assuming that the cat started at the origin.
Step 1 of 6
(a) Find the cat’s velocity at t = 4.0 s and at t = 7.0 s.
From the given v-t graph,
Cat’s velocity at t = 4s is v = 2 cm/s
Similarly at t= 7s, using straight line equation(y=mx+c), here v=mt-c
Using slope,m = 1.33, c = 8 and t = 7s
is v = -1.31 cm/s