3. You are operating a remote-controlled model car on a vacant tennis court. Your position is the origin of coordinates, and the surface of the court lies in the xy-plane. The car, which we represent as a point, has x- and y- coordinates that vary with time according to x= 2.0 m – (0.25m/s²)t² _y= (1.0 m/s)t + (0.025 m/s')t a) Find the car's coordinates and its distance from you at time t = 2.0 s. b) Find the car's displacement and average velocity vectors during the interval from t-0 s to t = 2.0 s. c) Find the components of the average acceleration in the interval from t = 0s to t = 2.0 s.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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solve all the 2 problems pls
3. You are operating a remote-controlled model car on a vacant tennis court. Your position is
the origin of coordinates, and the surface of the court lies in the xy-plane. The car, which
we represent as a point, has x- and y- coordinates that vary with time according to
x= 2.0 m – (0.25 m/s²)t² y = (1.0 m/s)t + (0.025 m/s³)t³
a) Find the car's coordinates and its distance from you at time t= 2.0 s.
b) Find the car's displacement and average velocity vectors during the interval from
t = 0 s to t = 2.0 s.
c) Find the components of the average acceleration in the interval from t = 0 s to
t = 2.0 s.
%3!
A batter hits a baseball so that it leaves the bat with an initial speed v, = 37.0 m/s at an
initial angle 0, = 53.1", at a location. Find the following,
a) the position of the ball at t = 2.00 s
b) the magnitude and direction of its velocity, whent = 2.00 s
c) the time when the ball reaches the highest point of its flight
d) its maximum height,h
e) its horizontal range, R.
4.
%3D
Transcribed Image Text:3. You are operating a remote-controlled model car on a vacant tennis court. Your position is the origin of coordinates, and the surface of the court lies in the xy-plane. The car, which we represent as a point, has x- and y- coordinates that vary with time according to x= 2.0 m – (0.25 m/s²)t² y = (1.0 m/s)t + (0.025 m/s³)t³ a) Find the car's coordinates and its distance from you at time t= 2.0 s. b) Find the car's displacement and average velocity vectors during the interval from t = 0 s to t = 2.0 s. c) Find the components of the average acceleration in the interval from t = 0 s to t = 2.0 s. %3! A batter hits a baseball so that it leaves the bat with an initial speed v, = 37.0 m/s at an initial angle 0, = 53.1", at a location. Find the following, a) the position of the ball at t = 2.00 s b) the magnitude and direction of its velocity, whent = 2.00 s c) the time when the ball reaches the highest point of its flight d) its maximum height,h e) its horizontal range, R. 4. %3D
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