2. An object is launched at an angle of 37° to the horizontal at a speed of 100 m/s from ground level. Draw a position vs. time, velocity vs. time, and acceleration vs. time for the horizontal and vertical motion of the ball from the time it is launched to the time it reaches the ground. Include all key points. Velocity vs. Time Position vs. Time Acceleration vs. Time Horiz ontal Motio

2. An object is launched at an angle of 37° to the horizontal at a speed of 100 m/s from ground level. Draw a position vs. time, velocity vs. time, and acceleration vs. time for the horizontal and vertical motion of the ball from the time it is launched to the time it reaches the ground. Include all key points. Velocity vs. Time Position vs. Time Acceleration vs. Time Horiz ontal Motio

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 37P: A bolt drops from the ceiling of a moving train car that is accelerating northward at a rate of 2.50...

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Unreasonable Results A commercial airplane has an air speed of 280 m/s due east and flies with a strong tailwind. It travels 3000 km in a direction 5° south of east in 1.50 h. (a) What was the velocity of the plane relative to the ground? (b) Calculate the magnitude and direction of the tailwind's velocity. (c) What is unreasonable about both of these velocities? (d) Which premise is unreasonable?
Two students are on a balcony a distance h above the street. One student throws a ball vertically downward at a speed vi, at the same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of vi, g, h. and t. (a) What is the time interval between when the first ball strikes the ground and the second ball strikes the ground? (b) Find the velocity of each ball as it strikes the ground, (c) How far apart are the balls at a time t after they are thrown and before they strike the ground?
A glider on an air track carries a flag of length through a stationary photogate, which measures the time interval td during which the flag blocks a beam of infrared light passing across the photogate. The ratio vd = /td is the average velocity of the glider over this part of its motion. Suppose the glider moves with constant acceleration, (a) Is vd necessarily equal to the instantaneous velocity of the glider when it is halfway through the photogate in space? Explain. (b) Is vd equal to the instantaneous velocity of the glider when it is halfway through the photogate in time? Explain.
A ball is projected horizontally from the top of a building. One second later, another ball is projected horizontally from the same point with the same velocity, (a) At what point in the motion will the balls be closest to each other? (b) Will the first ball always be traveling faster than the second? (c) What will be the time difference between them when the balls hit the ground? (d) Can the horizontal projection velocity of the second ball be changed so that the balls arrive at the ground at the same time?
A ball rolls in a straight line along the horizontal direction. Using motion diagrams (or multi flash photo-graphs), describe the velocity and acceleration of the ball for each of the following situations: (a) The ball moves to the right at a constant speed, (b) The ball moves from right to left and continually slows down, (c) The ball moves from right to left and continually speeds up. (d) The ball moves to the right, first speeding up at a constant rate and then slowing down at a constant rate.
A projectile is launched from the point (x = 0, y = 0), with velocity (12.0i19.0j)m/s2, at t = 0. (a) Make a table listing the projectiles distance r from the origin at the end of each second thereafter, for 0 t 10 s. Tabulating the x and y coordinates and the components of velocity vx and vy will also be useful. (b) Notice that the projectiles distance from its starting point increases with time, goes through a maximum, and starts to decrease. Prove that the distance is a maximum when the position vector is perpendicular to the velocity. Suggestion: Argue that if v is not perpendicular to r, then r must lie increasing or decreasing. (c) Determine the magnitude of the maximum displacement. (d) Explain your method for solving part (c).
A bolt drops from the ceiling of a moving train car that is accelerating northward at a rate of 2.50 m/s2, (a) What is the acceleration of the bolt relative to the train car? (b) What is the acceleration of the bolt relative to the Earth? (c) Describe the trajectory of the bolt as seen by an observer fixed on the Earth.
A seagull flies at a velocity of 9.00 m/s straight into the wind. (a) If it takes the bird 20.0 min to travel 6.00 km relative to the Earth, what is the velocity of the wind? (b) If the bird turns around and flies with the wind, how long will he take to return 6.00 km? (c) Discuss how the wind affects the total round-trip time compared to what it would be with no wind.
3. A spacecraft flying in a straight line with velocity of 75 km/s fires its rocket motors for only 6.0 s. At the end of this time, its velocity becomes 120 km/s. Further, it travels with the same constant velocity. i) Find the distance travelled by the spacecraft in the first 10 seconds after the motors were started. ii) Calculate the average velocity of the travel of the spacecraft.
1.) Kilauea in Hawaii is the world’s most continuously active volcano. Very active volcanoes characteristically eject red-hot rocks and lava rather than smoke and ash. Suppose a large rock is ejected from the volcano with a speed of 25.0 m/s and at an angle 35.0º above the horizontal, as shown in Figure 3.39. The rock strikes the side of the volcano at an altitude 20.0 m lower than its starting point. (a) Calculate the time it takes the rock to follow this path. (b) What are the magnitude and direction of the rock’s velocity at impact?
1 ) A ball kicked from ground level at an initial velocity of 69 m/s and an angle θ with ground reaches a horizontal distance of 150 meters. a) What is the size of angle θ? b) What is time of flight of the ball?
3.) This is differential Calculus subject. A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION.The Equation is S = t^3 - 9t^2 + 15t ; t>=0.where (s) meters is the directed distance of the particle from the originat (t) seconds. where (v) meters per second is the instantaneous acceleration of the particle. 1. FIND (v) AND (a) IN TERMS OF (t).2. MAKE A TABLE THAT GIVES A Description of THE POSITION AND MOTION of the particle, include in the table the intervals of time when the PARTICLE IS MOVING TO THE LEFT AND RIGHT include in the table when the VELOCITY IS INCREASING AND DECREASING include in the table when the SPEED IS INCREASING AND DECREASING include in the table the POSITION OF THE PARTICLE with respect to the origin during these intervals of time. and Show the BEHAVIOR OF THE MOTION