The table gives coordinates of a particle moving through space along a smooth curve.[1,2](0.5, 1]t0.5 3.7 7.7 3.41.0 4.9 6.0 3.1(a) Find the average velocities over the time intervals [0, 1], (0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to one decimal place.)[0,1]1.5 5.3 6.6 2.82.0 7.9 7.7 2.6[1, 1.5]v(1) =IM(1)yVave=VaveVave(b) Estimate the velocity and speed of the particle at t= 1. (Use the time intervals [0.5, 1] and [1, 1.5] to calculate your answer. Round the speed to two decimal places.)

Answered: Image /qna-images/answer/85435a0f-c81e-4e2c-bfb4-b8e7ee3eb580.jpg

The table gives coordinates of a particle moving through space along a smooth curve. (0.5, 1) [1,2] (a) Find the average velocities over the time intervals [0, 1], (0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to one decimal place.) [0,1] V₂ t 0.5 3.7 7.7 3.4 1.0 4.9 6.0 3.1 1.5 5.3 6.6 2.8 2.0 7.9 7.7 2.6 [1, 1.5] v(1) = ave Vave" y Vave ave (b) Estimate the velocity and speed of the particle at t= 1. (Use the time intervals [0.5, 1] and [1, 1.5] to calculate your answer. Round the speed to two decimal places.)

The table gives coordinates of a particle moving through space along a smooth curve. (0.5, 1) [1,2] (a) Find the average velocities over the time intervals [0, 1], (0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to one decimal place.) [0,1] V₂ t 0.5 3.7 7.7 3.4 1.0 4.9 6.0 3.1 1.5 5.3 6.6 2.8 2.0 7.9 7.7 2.6 [1, 1.5] v(1) = ave Vave" y Vave ave (b) Estimate the velocity and speed of the particle at t= 1. (Use the time intervals [0.5, 1] and [1, 1.5] to calculate your answer. Round the speed to two decimal places.)

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

The velocity in ft/s of an object moving along a line is given byv = ƒ(t) on the interval 0 ≤ t ≤ 6 (see figure), where t ismeasured in seconds.a. Divide the interval [0, 6] into n = 3 subintervals, [0, 2], [2, 4],and [4, 6]. On each subinterval, assume the object moves at aconstant velocity equal to the value of v evaluated at the leftendpoint of the subinterval, and use these approximations toestimate the displacement of the object on [0, 6] b. Repeat part (a) for n = 6 subintervals
Given that the acceleration vector is a(t)=(−16cos(−4t))i+(−16sin(−4t))j+(1t)k, the initial velocity is v(0)=i+k, and the initial position vector is r(0)=i+j+k, compute: A. The velocity vector v(t) B. The position vector r(t)
A car accelerates with a constant acceleration of 1.2 m · s-2 along a long straight road. How long does it take the car to accelerate from 100 kph to 110 kph, and how far does it travel while doing so? [Hint: watch your units and your significant figures. Because there is no other information, take the speeds as three significant figures.] It takes seconds to accelerate to 110 kph. While accelerating, the car travels m. Separate your answers with a comma. Example: a, b
A grandfather is waiting for his grandchild, pacing back and forth in a straight line in a long narrow waiting room. Starting at a point in front of the door, he walks 12 paces east, then 5 paces west,the 4 paces east, then 8 paces west,then 2 paces east, then 10 paces west, when finally, after he has walked 3 more paces east and stopped. At that point, what distance has the grandfather covered? What is his total displacement? what is his average speed, if he paced for 5.0 minutes? what is his average velocity, if he paced for 5.0 minutes?
Suppose we are told that the acceleration a of a particle moving with uniform speed ν in a circle of radius r is proportional to some power of r, say rn, and some power of ν, say νm. Determine the values of n and m and write the simplest form of an equation for the acceleration.
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.
The position of an object as a function of time is given by r = (3.2t + 1.5t2)i + (1.7t -2.0t2)jm, where t is time in seconds. What is the magnitude of the acceleration, and what is the direction of the acceleration (given in terms of theta, clockwise from the x axis).
The position-time graph that describes the motion of an object is given as in the figure below. if the values of a= 138.4m, b=227.5m and c=312.5m, Find the distance traveled by the object ( in units of m) over the time interval of [0, 40] s. x(m) a t(s) 10 30 40 Select one: O A. 263.2 OB. 401.6 OC. 490.7 OD. 678.4 O E. 540.0 20
B (3,3) E (5,0) A (0,0) C (7,3) D (7,-6) Note: all coordinates in meters - not to scale! A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4 minutes to complete the course, what is the robot's average speed? Answer: Om/s X
A group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' distance for the trip.
A particle moves ccw on a circular path of 400 ft radius. It starts from a fixed point which is horizontally to the right of the center of the path and moves so that s = 10t2 + 20t where s is the arc distance in ft and t is the time in sec. Compute the x and y components of the acceleration at the end of 3 seconds.
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of i = (3.00 i − 2.00 j) m/s and is at the origin. At t = 2.30 s, the particle's velocity is = (7.60 i + 7.90 j) m/s. (Round your coefficients to two decimal places.) Find its coordinates at any time t. (Use the following as necessary: t.) Do not find coordinates at a specific point, but provide equations for finding any point of x and any point of y; ex. y=______ and x=_________.