A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during (a) segment A, (b) segment B, and (c) segment C? Express your answers in km/h. +50.0 +40.0 +30.0 +20.0 +10.0 0.5 1.0 1.5 2.5 3.0 2.0 Time i (h) (a) Number Units (b) Number Units (c) Number Units Position x (km)

A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during (a) segment A, (b) segment B, and (c) segment C? Express your answers in km/h. +50.0 +40.0 +30.0 +20.0 +10.0 0.5 1.0 1.5 2.5 3.0 2.0 Time i (h) (a) Number Units (b) Number Units (c) Number Units Position x (km)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...

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3.2 A rhinoceros is at the origin of coordinates at time t1=0t1=0. For the time interval from t1t1t_1 to t2t2t_2 = 13.0 ss , the rhino's average velocity has x-component -3.8 m/sm/s and y-component 5.2 m/sm/s .1. At time t2=t2= 13.0 ss what is the x-coordinate of the rhino? 2. At time t2=t2= 13.0 ss what is the y-coordinate of the rhino? 3. How far is the rhino from the origin?
A cart is propelled over an xy plane with acceleration components ax = 4.0 m/s2 and ay=-2.0 m/s2. Its initial velocity has components v0x = 8.0 m/s and v0y = 12 m/s. In unit-vector notation, what is the velocity of the cart when it reaches its greatest y coordinate?
Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to t=4.00s. (b) Determine the velocity and the speed at t=2.00s
Starting from the front door of your ranch house, you walk 60.0 m due east to your windmill, and then you turn around and slowly walk 35.0 m west to a bench where you sit and watch the sunrise. It takes you 30.0 s to walk from your house to the windmill and then 46.0 s to walk from the windmill to the bench. For the entire trip from your front door to the bench, what is your average speed?
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi = (3.00 i − 2.00 j) m/s and is at the origin. At t = 2.60 s, the particle's velocity is v = (8.70 i + 3.40 j) m/s. (Round your coefficients to two decimal places.) Find its coordinates at any time t. (Use the following as necessary: t.)
A rabbit runs across a parking lot on which a set of coordinate axis has been drawn. The coordinates of the rabbit’s position as a function of time t are given by: x = -0.3t2 + 5t + 28 and y = 0.22t2 - 8t + 30 with t in seconds and x and y in meters. What is the velocity at t= 10 sec? A. 0.6 i + 0.4 j B. -0.2i +1.6j +30 C. -i - 3.6 j D. 4i + 2j
A car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i until it encounters a smooth inclined hill. It climbs the hill with constant velocity. v1=v1x^+v1y^j = (44.2 m/s)^i + (3.23 m/s)^jWhat is the expression in cartesian unit vector notation, for average acceleration of the car during the given time period using the symbols provided?
Suppose that the position vector for a particle is given as a function of time by (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 2.00 m/s, b = 1.05 m, c = 0.117 m/s2, and d = 1.16 m. (a) Calculate the average velocity during the time interval from t = 2.05 s to t = 3.85 s. = m/s (b) Determine the velocity at t = 2.05 s. = m/s Determine the speed at t = 2.05 s. m/s
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Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.10 m/s, b = 1.25 m, c = 0.123 m/s2, and d = 1.02 m. (a) Calculate the average velocity during the time interval from t = 1.85 s to t = 3.85 s. (b) Determine the velocity and speed at t = 1.85 s.
The drawing shows two cars traveling in different directions with different speeds. Their velocities are: vAG = velocity of car A relative to the Ground = 32.4 m/s, due eastvBG = velocity of car B relative to the Ground = 21.0 m/s, due northThe driver of car B looks out the window and sees car A. What is the velocity (magnitude and direction) of car A as observed by the driver of car B? In other words, what is the velocity vAB of car A relative to car B?
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