Suppose you are operating a radio-controlled model car on a vacant tennis court. The surface of the court represents the x-y plane, and you place the origin at your own location. At time t = 2 sec the car has x and y coordinates(4m,2m), and at time t, = 2.50 sec it has coordinates (7m,6m). For the time interval from t, to t, find: (a) the components of the average velocity of the car? (b) the magnitude and direction of the average velocity?

Suppose you are operating a radio-controlled model car on a vacant tennis court. The surface of the court represents the x-y plane, and you place the origin at your own location. At time t = 2 sec the car has x and y coordinates(4m,2m), and at time t, = 2.50 sec it has coordinates (7m,6m). For the time interval from t, to t, find: (a) the components of the average velocity of the car? (b) the magnitude and direction of the average velocity?

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)...

See similar textbooks

Similar questions

Let A⃗ =6î −4ĵ and B⃗ =−3î +7ĵ . What is C⃗ =A⃗ −4B⃗ ? Give your answer as a magnitude and direciton. Magnitude: Direction (specify as an angle measured counterclockwise from the positive x axis):
I need to solve v(sub y)=v(sub 0)sin θ(sub 0)-gt to find the time that it takes the projectile to reach maximum height (so I believe I'm solving for t?). I have previously found v(sub 0y) in part (a), but I'm unsure what v(sub 0) and v(sub y) are. How do I find those variables?
Consider a non-stationary time series is defined as below Yt = B0 +B1t+et Where et is error term and IID in nature. Prove that 1st difference of this series is stationary.
The biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown,forming two straight sides of a 105° angle, with one side 240 m long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake to its head, and Olaf starts from the same place at the same moment but runs along the snake. (a) If both children run steadily at 12.0 km/h, Inge reaches the head of the snake how much earlier than Olaf? (b) If Inge runs the race again at a constant speed of 12.0 km/h, at what constant speed must Olaf run to reach the end of the snake at the same time as Inge?
A piece of wood moves at a velocity (measured in millimeters per year) of v(1) = r² – 3t – 4 where 1 = 1 would be the end of the first year. If a is the displacement of the wood in the first 5 years and b is the distance traveled in the first 5 years, what is a- b? None of the listed answers
The LORAN (LOng RAnge Navigation) radio navigation system was widely used until the 1990s when it was superseded by the GPS system. In the LORAN system, two radio stations located at A and B transmit simultaneous signals to a ship or an aircraft located at P. The onboard computer converts the time difference in receiving these signals into a distance difference |PA| = |PB|, and this, according to the definition of a hyperbola, locates the ship or aircraft on one branch of a hyperbola (see the figure). coastline 430 mi transmitting stations P B Suppose that station B is located 430 mi due east of station A on a coastline. A ship received the signal from B 1,200 microseconds (us) before it received the signal from A. (a) Assuming that radio signals travel at a speed of 980 ft/µs, find an equation of the hyperbola on which the ship lies. (Use x as the axis along the coastline, and center your coordinate system between A and B. Values should be in miles.) (b) If the ship is due north of B,…
The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 01-32.0°, e2 = 49.0°, and 03 = 84.0°, and the distances are di 4.80 m, d2 = 7.30 m, and d3 = 10.0 m. What are the (a) magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. dz dg (a) Number 5.586 Units (b) Number 135 Units * (degrees)
The instantaneous speed of a particle moving along one straight line isv(t) = ate−5t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a? (Do not include units in your answer.)
While exploring a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle u 5 30.0° north of east, and 150 m south. Find her resultant displacement from the cave entrance. Figure P3.21 suggests the situation but is not drawn to scale.
An experimentalist in a laboratory finds that a particle has a helical path. The position of this particle in the laboratory frme is given by r(t)= R cos(wt)i + R sin(wt)j + vztk R,vz, and w are constants. A moving frame has velocity (Vm)L= vzk relative to the laboratory frame. In vector form: A)What is the path of the partical in the moving frame? B)what is the velocity of the particle as a function of time relative to the moving frame? C)What is the acceleration of the particle in each frame? D)How should the accelerartion in each frame be realted?Does your answer to part c make sense?
The problem can be seen in the image. It's physics.
A point moves in a circle at a constant speed of 35cm/sec. The period of one complete journey around the circle is 20sec. At t = 0 the line to the point from the center of the circle makes an angle of 30° with the x axis. a) Obtain the equation of the x coordinate of the point as a unction of time, in the form x = A cos (ωt + φ), giving the numerical values of A, ꞷ and φ. b) What are the values of x, dx/dt, and d2x/dt2 at t = 4 sec.