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.  35) A particle moves along the x-axis according to x(t)=10t−2t2mx(t)=10t−2t2m. (a) What is the instantaneous velocity at t = 2 s and t = 3 s? (b) What is the instantaneous speed at these times? (c) What is the average velocity between t = 2 s and t = 3 s?
(1) The position of a particle for 1> 0 is given by F(t)= (3.0r i-7.0r j-5.01 k) m. (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What is the particle's velocity at /- 2.0 s? (d) What is its speed at t= 1.0 s and / 3.0 s? (e) What is the average velocity between t-1.0s and r= 2.0 s?
(b) Suppose instead that the true speed of the car as a function of time is described by v(t) = 30√/t (still from t = 0 to t = 4). Sketch a graph of the car's speed vs. time. (c) Since the speed is no longer constant, it is much harder to calculate the distance traveled. But we can still try. Suppose we wanted to calculate how far the car went in the sin minute from 1:00 and 1:01. i. Let's pretend that the car's speed is constant for this single minute. What might be a reasonable approximation for the car's speed, in this scenario? (There is no one single correct answer to this question; make your best estimate.) ii. Under this assumption, approximately how far did the car go during this minute? (Hint: Don't forget that a minute is hours.) 60

Chapter 2 Solutions

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Ch. 2 - When an object moves with constant velocity, does...Ch. 2 - If one object has a greater speed than a second...Ch. 2 - Compare the acceleration of a motorcycle that...Ch. 2 - Can an object have a northward velocity and a...Ch. 2 - Can the velocity of an object be negative when its...Ch. 2 - Give an example where both the velocity and...Ch. 2 - Two cars emerge side by side from a tunnel. Car A...Ch. 2 - Can an object be increasing in speed as its...Ch. 2 - A baseball player hits a ball straight up into the...Ch. 2 - As a freely falling object speeds up, what is...Ch. 2 - You travel from point A to point B in a car moving...Ch. 2 - Can an object have zr velocity and nonzero...Ch. 2 - Can an object have zero acceleration and nonzero...Ch. 2 - Which of these motions is not at constant...Ch. 2 - Prob. 17QCh. 2 - Describe in words the motion plotted in Fig. 236...Ch. 2 - Describe in words the motion of the object graphed...Ch. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 4MCQCh. 2 - Prob. 5MCQCh. 2 - Prob. 6MCQCh. 2 - Prob. 7MCQCh. 2 - Prob. 9MCQCh. 2 - Prob. 11MCQCh. 2 - (I) If you are driving 110 km/h along a straight...Ch. 2 - What must your cars average speed be in order to...Ch. 2 - (I) A particle at t1 = 2.0 s is at x1 = 4.3 cm and...Ch. 2 - (II) According to a rule-of-thumb, every five...Ch. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 24PCh. 2 - (II) A car moving in a straight line starts at x =...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - (II) The position of a racing car, which starts...Ch. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - (II) A car traveling 85 km/h slows down at a...Ch. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - (II) The best rebounders in basketball have a...Ch. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 69PCh. 2 - (III) A toy rocket moving vertically upward passes...Ch. 2 - Prob. 71PCh. 2 - Prob. 72PCh. 2 - Prob. 73PCh. 2 - (III) Air resistance acting on a falling body can...Ch. 2 - Prob. 75GPCh. 2 - A person jumps from a fourth-story window 15.0 m...Ch. 2 - Prob. 77GPCh. 2 - Prob. 78GPCh. 2 - Prob. 79GPCh. 2 - Prob. 80GPCh. 2 - Consider the street pattern shown in Fig. 247....Ch. 2 - Prob. 82GPCh. 2 - Prob. 83GPCh. 2 - Prob. 84GPCh. 2 - Prob. 86GPCh. 2 - Prob. 87GPCh. 2 - In putting, the force with which a golfer strikes...Ch. 2 - Prob. 89GPCh. 2 - Prob. 91GPCh. 2 - Prob. 92GPCh. 2 - Prob. 93GPCh. 2 - Prob. 94GPCh. 2 - Prob. 95GPCh. 2 - Prob. 96GPCh. 2 - Prob. 97GPCh. 2 - Prob. 98GPCh. 2 - Prob. 99GPCh. 2 - Prob. 100GPCh. 2 - Prob. 101GPCh. 2 - Prob. 102GPCh. 2 - You are traveling at a constant speed vM, and...
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