3. Suppose you are taking a hike at Mt. Pulag with a terrain slopeof 24° from the horizontal. After walking 70 meters, you stoppedat point B and throw a stone - perpendicular to the terrain - backto your initial position to determine the velocity of the stone toreach the ground.a. Determine the maximum height reached by the stonemeasured from point B.b. If your initial velocity is 18.64 m/s, what is the time of travelof the stone back to your initial position?

Answered: Image /qna-images/answer/e85a1f84-67b2-4c5b-a9f9-866a700fd7df.jpg

Answered: 3. Suppose you are taking a hike at Mt.…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3.) You throw a ball straight up. The ball leaves your hand at a height of 2.00 m above the ground with a speed of 20.0 m/s (~45 mph). Ignore air resistance and use g = 10.0 m/s2 to answer the following questions. You can use a spreadsheet but show your sample calculations. 3a.) Calculate the height, y(t), and velocity, vy(t), at 0.50 second intervals until the ball hits the ground. Show your results in a table and put the units in the column headers: t (s), vy (m/s), y (m). 3b.) Use this data to draw a motion diagram for the ball at 0.50 second intervals. Label the height and the speed at each time interval. Label the origin, starting height, maximum height, and final height. Include the velocity vectors for each time and location of the ball. 3c.) Calculate the time it takes for the ball to hit the ground and the final velocity of the ball just as it hits the ground. Include this velocity vector in your diagram.
Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A payload is dropped at an elevation of 400 m from a hot-air balloonthat is descending at a rate of 10 m/s.
QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.
We set the origin of a coordinate system so that the position of a train is x = 0 m at t = 0 s. Shows is the train’s velocity graph.a. Draw position and acceleration graphs for the train.b. Find the acceleration of the train at t = 3.0 s.
4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24
Include a picture or description of your coordinate system (origin, positive direction).
A car is traveling due East at a rate of 36.2 kph and a train is due North at a speed of 74.70 kph and bound to meet at an intersection 1 km for the train and the car. a. Determine the acceleration of the car, If the car reaches the intersection 10 seconds ahead of the train. b. Determine the velocity of the car at the intersection.
If the velocity is constant towards the right direction, the graph of displacement x vs time t is a A. line with a positive slope. B. line with negative slope. C. parabola in the first quadrant. O D. parabola in the 4th quadrant. An object is moving towards the right direction. Velocity is constant. The graph of velocity vs time t is a line O A. along the t axis B. parallel to the t axis C. parallel to the v axis. O D. with nonzero slope. Velocity of a moving object is towards the right. Velocity is constant. The graph of acceleration a vs time t is a A. line parallel to the acceleration a axis. B. line along the acceleration a axis. C. line along the t-axis. OD.line with positive slope.
1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.
Two people stand across from one another at the top edges of identical buildings, 50 meters above the ground. One person throws a rock straight upwards with an initial speed of 15 m/s, while the other person throws their rock straight downwards with an initial speed of 15 m/s. If both of the rocks miss the building and continue down to the street, a. How long will it take for the rock thrown upwards to reach the ground? b. How long will it take for the rock thrown downwards to reach the ground? c. How fast will the upward thrown rock be travelling just before it hits the ground? The downward thrown rock?
a. Find the velocity v(t) and acceleration a(t). b. At what value of t does v=0? c. What is the maximum height?
2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.

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