|| 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 racing enthusiast claims that his sports car will accelerate from rest to a speed of 43.0 m/s in 8.10 s.
(a) Determine the magnitude of the average acceleration of the car (in m/s?).
|m/s2
(b) Assume that the car moves with constant acceleration. Find the distance (in m) the car travels in the first 8.10 s.
m
(c) What is the speed of the car (in m/s) 10.0 s after it begins its motion if it continues to move with the same acceleration?
m/s
The displacement-time graph of a moving object is a straight line. Then
a. its acceleration may be variable
b. its velocity may be uniform
c. both its velocity and acceleration may be uniform
d. its acceleration may be uniform
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.