|| A person is walking briskly in a straight line, which we shall call the x axis. Figure 2.42 shows a graph of the person’s position x along this axis as a function of time t. (a) What is the person’s displacement during each of the following time intervals: (i) between t = 1.0 s and t = 10.0 s, (ii) between t = 3.0 s and t = 10.0 s, (iii) between t = 2.0 s and t = 3.0 s, and (iv) between t = 2.0 s and t = 4.0 s? (b) What distance did the person move from (i) t = 0 s to t = 4.0 s, (ii) t = 2.0 s to t = 4.0 s, and (iii) t = 8.0 s to t = 10.0 s? Figure 2.42 Problem 2 2.2. Set Up: From the graph the position x t at each time t is: x 1 = 1.0 m, x 2 = 0, x 3 = −1.0 m, x 4 = 0, x 8 = 6.0 m, and x 0 = 6.0 m. Solve (a) The displacement is Δ x . (i) Δ x = x 10 − x 1 = +5.0 m; (ii) Δ x = x 10 − x 3 = +7.0 m; (iii) Δ x = x 3 − x 2 = −1.0 m; (iv) Δ x = x 4 − x 2 = 0 (b) (i) 3.0 m + 1.0 m = 4.0 m; 90° (ii) 1.0 m + 1.0 m = 2.0 m; (iii) zero (stays at x = 6.0 m)
|| A person is walking briskly in a straight line, which we shall call the x axis. Figure 2.42 shows a graph of the person’s position x along this axis as a function of time t. (a) What is the person’s displacement during each of the following time intervals: (i) between t = 1.0 s and t = 10.0 s, (ii) between t = 3.0 s and t = 10.0 s, (iii) between t = 2.0 s and t = 3.0 s, and (iv) between t = 2.0 s and t = 4.0 s? (b) What distance did the person move from (i) t = 0 s to t = 4.0 s, (ii) t = 2.0 s to t = 4.0 s, and (iii) t = 8.0 s to t = 10.0 s? Figure 2.42 Problem 2 2.2. Set Up: From the graph the position x t at each time t is: x 1 = 1.0 m, x 2 = 0, x 3 = −1.0 m, x 4 = 0, x 8 = 6.0 m, and x 0 = 6.0 m. Solve (a) The displacement is Δ x . (i) Δ x = x 10 − x 1 = +5.0 m; (ii) Δ x = x 10 − x 3 = +7.0 m; (iii) Δ x = x 3 − x 2 = −1.0 m; (iv) Δ x = x 4 − x 2 = 0 (b) (i) 3.0 m + 1.0 m = 4.0 m; 90° (ii) 1.0 m + 1.0 m = 2.0 m; (iii) zero (stays at x = 6.0 m)
|| A person is walking briskly in a straight line, which we shall call the x axis. Figure 2.42 shows a graph of the person’s position x along this axis as a function of time t. (a) What is the person’s displacement during each of the following time intervals: (i) between t = 1.0 s and t = 10.0 s, (ii) between t = 3.0 s and t = 10.0 s, (iii) between t = 2.0 s and t = 3.0 s, and (iv) between t = 2.0 s and t = 4.0 s? (b) What distance did the person move from (i) t = 0 s to t = 4.0 s, (ii) t = 2.0 s to t = 4.0 s, and (iii) t = 8.0 s to t = 10.0 s?
Figure 2.42
Problem 2
2.2. Set Up: From the graph the position xt at each time t is: x1 = 1.0 m, x2 = 0, x3 = −1.0 m, x4 = 0, x8 = 6.0 m, and x0 = 6.0 m.
Solve (a) The displacement is Δx. (i) Δx = x10 − x1 = +5.0 m; (ii) Δx = x10 − x3 = +7.0 m; (iii) Δx = x3 − x2 = −1.0 m; (iv) Δx = x4 − x2 = 0
(b) (i) 3.0 m + 1.0 m = 4.0 m; 90° (ii) 1.0 m + 1.0 m = 2.0 m; (iii) zero (stays at x = 6.0 m)
A particle moves along the x axis according to the equation x = 1.99 + 3.05t – 1.00t, where x is in meters and t is in seconds.
(a) Find the position of the particle at t = 3.40 s.
(b) Find its velocity at t = 3.40 s.
m/s
(c) Find its acceleration at t = 3.40 s.
|m/s2
|A golfer rides in a golf cart at an average speed of 3.10 m/s for
28.0 s. She then gets out of the cart and starts walking at an average speed
of 1.30 m/s. For how long (in seconds) must she walk if her average speed
for the entire trip, riding and walking, is 1.80 m/s?
*83.
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