4.1 Displacement and Velocity Vectors

University Physics Volume 1 Problems able of contents X Search this book Q 4 Motion in Two and Three Dimensions 23. The position of a particle is F(t) = 4.0ti - 3.0j + 2.03km. (a) What is the velocity of the particle at 0 Introduction s and at 1.0 s? (b) What is the average velocity between 0 s and 1.0 s?29. The position of a particle for t > 0 is given by F(t) = (3.0ti - 7.0t j - 5.0t-2k) 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 t = 2.0 s? (d) What is its speed at t = 1.0 s and t = 3.0 s? (e) What is the average velocity between t = 1.0 s and t = 2.0 s?35. A dart is thrown horizontally at a speed of 1D mfs at the bull'seye of a dartboard 2.4 m away, as in the following figure. [a] How far below the intended target does the dart hit? lb} What does your answer tell you about howr proficient dart players throw their darts? 49. An astronaut on Mars kicks a soccer ball at an angle of 45 with an initial velocity cl 15 mfe. If the acceleration of gravityr on Mars is 3.7131,! 52, (a) what is the range of the soccer kick on a flat surface? {b} What would be the range of the same kick on the Moon, where gravity,r is onesixth that of Earth? 61. A particle travels in a circle of radius 10 m at a constant speed of 20 m/s. What is the magnitude of the acceleration?65. What is the acceleration [)1 Venue toward the Sun. assuming a circular orbit? 72. Raindrops fall vertically at 4.5 m/s relative to the earth. What does an observer in a car moving at 22.0 m/s in a straight line measure as the velocity of the raindrops?77. A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25 km/h. To a stationary observer, what are the speed and direction of the wind