2. A car is 2.0 km west of a traffic light at t = 0 and 5.0 km east of the light at t = 6.0 min. Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) What are the car's position vectors at these two times? (b) What is the car's displacement between 0 min and 6.0 min?
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- 3. The vector position ofa particle varies in time according to V the expression r = 3.00i – 6.00/j, where r is in meters and I is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the accelera- tion of the particle as a function of time. (c) Calculate the particle's position and velocity at = 1.00 s. 15A volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on (a) your choice of origin foryour coordinate system, or (b) your choice of a positive direction?Explain in each case.When there is no air resistance what best describes the vectors of a projectile in motion O The acceleration vector and velocity vector are both constant magnitude. The acceleration vector is constant and points straight down. The velocity vector is perpendicular to the trajectory O The acceleration vector is constant magnitude and perpendicular to the trajectory. The velocity vector is at a tangent to the trajectory O The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectory
- At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 239 km/h in the northwest direction (45° west of north). a. Which of the following are the initial and final velocity vectors? SEE ATTACHMENTS b. Find the magnitude of the change in velocity. anser in km/h c. Find the change in direction of your velocity. Enter the angle in degrees where negative indicates north of west and positive indicates south of west. answer in degrees d. What is the magnitude of your average acceleration during the trip? answer in km/h^2PleaseSuppose a soccer player kicks the ball from a distance 26 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 36° above the horizontal. m/s
- When there is no air resistance what best describes the vectors of a projectile in motion: a.The acceleration vector and velocity vector are both constant magnitude. b.The acceleration vector is constant magnitude and perpendicular to the trajectory. The velocity vector is at a tangent to the trajectory c.The acceleration vector is constant and points straight down. The velocity vector is perpendicular to the trajectory d.The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectoryHi I need help pleaseA spider moves on a wall along the path shown in the figure. The spider's position and velocity is indicated at t; = 0 and t; = 6.00 seconds. The spider's initial velocity v; = 0.100 m/s is toward the North and final velocity vị = 0.100 m/s is toward the East. Determine the following: a) The x- and y-components of the displacement b) The x- and y-components of the average velocity c) The x- and y-components of the average acceleration. y (m) v = 0.100 m/s 0.350 = 0.100 m/s 0.150- x (m) 0.100 0.400
- A supply plane flies horizontally with a speed of 100 m/s and an altitude of 350 m. Use g = -10 m/s/s. A) What are the initial velocity components of an object that is dropped from the plane at the instant it is dropped? B) How fast is an object that is dropped from the plane traveling 7.5 seconds later? C) What angle, below the horizontal, does the velocity vector of an object that is dropped from the plane make 7.5 seconds later? D) How long does it take for an object that is dropped from the plane to hit the ground when air resistance is neglected? E) How far does an object that is dropped from the plane travel in the horizontal direction?A river flows due south with a speed of 2.8 m/s. A man steers a motorboat across the river; his velocity relative to the water is 4.9 m/s due east. The river is 600 mm wide. a-What is the magnitude of his velocity relative to the earth? b-What is the direction of his velocity relative to the earth? c-How much time is required to cross the river? d-How far south of his starting point will he reach the opposite bank?5) A ball is bounced off the ground directly south, with an initial velocity of 12 m/s from the ground, with an angle of elevation of 60 degrees. If the wind is blowing such that the ball has a constant acceleration of 3 m/s² to the west, where does the ball land relative to where it was bounced from? Set up the acceleration, velocity, and position vector functions to solve this problem.