Please answer all the parts of the question The position of a dragonfly is given by* = [2.80 m + (0.04 m/s²)t²]î – (0.02 m/s³) t³ ĵ+ (0.06 m/s²) t² k%DFind the average velocity in the time interval t, = 0 to t, = 2.0 s.%3DWhat are the x- , y-, and z-components of the instantaneous velocity at time t= 1.0 s.

Answered: Image /qna-images/answer/7b9e8bce-7f0e-458d-8f35-283a12e18f25.jpg

Answered: The position of a dragonfly is given by…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

See similar textbooks

Similar questions

A glider is initially moving at a constant height of 3.76 m. It is suddenly subject to a wind such that its velocity at a later time t can be described by the equation v(t) = 16.18 − 7.78(1 + t) + 0.70t3, where v and its components are in meters per second, t is in seconds, and the z axis is perpendicular to the level ground. (a) What was the initial velocity of the glider? (Express your answer in vector form.) vi = m/s(b) Write an expression for the acceleration of the glider in component form when t = 2.14 s. (Express your answer in vector form.) a(t = 2.14 s) = m/s2
An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity Vx as a function of time is given by: Vx(t) = at - Bt3, where a = 6.8 m/s2 and B = 4.0 m/s4 I. At what nonzero time t is the object again at x = 0? (Express your answer with the appropriate units.) II. At t = 1.8 s, what is the x-component of the velocity of the object? (Express your answer with the appropriate units.) III. At t = 1.8 s, what is the x-component of the acceleration of the object? (Express your answer with the appropriate units.)
A simple way of measuring a person's reaction time is to let the person catch a freely-falling ruler or meter stick and then measure the distance from the point where the fingers of the person was placed before the ruler is released to the point where the person's finger was located after the ruler was released. If the distance of fall is 19 cm, what is the person's reaction time? A. 19 s B. 1.9 s C. 0.2 s D. 0.1 s
The acceleration of a rocket is a = -bV, where V is the speed of exhaust gases coming out of the thruster. What are the SI units of b?
On a spacecraft two engines fire for a time of 532 s. One gives the craft an acceleration in the x direction of ax = 4.92 m/s2, while the other produces an acceleration in the y direction of ay = 7.16 m/s2. At the end of the firing period, the craft has velocity components of vx = 3743 m/s and vy = 4808 m/s. Calculate the magnitude of the initial velocity.
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42
The coordinate of a particle in meters is given by x(t) = 16t − 3.0t³, where the time t is in seconds. The particle is momentarily at rest at t = ____. a. 0.75 sb. 1.3 sc. 5.3 sd. 7.3 s
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = t3 − 15t2 + 72t (a) Find the velocity at time t. v(t) = (b) What is the velocity after 5 s? v(5) = ft/s (c) When is the particle at rest? t = s (smaller value) t = s (larger value) (d) When is the particle moving in the positive direction? (Enter your answer in interval notation.) t (e) Find the total distance traveled during the first 8 s.ft(f) Find the acceleration at time t. a(t) = Find the acceleration after 5 s. a(5) = ft/s2 (g) Graph the position, velocity, and acceleration functions for the first 8 s. (h) When, for 0 ≤ t < ∞, is the particle speeding up? (Enter your answer in interval notation.) When, for 0 ≤ t < ∞, is it slowing down? (Enter your answer in interval notation.)
h=-16(2)^(2)-30(2)+220, where h_(0) is the height of the object when t=0 and v_(0) is the velocity of the object at time t=0 (c) How far does the rock fall in 2 seconds if you throw it downward with an initial velocity of 30 feet per second?
A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 146 feet per second from an initial height of 89 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation: h=−16t2+146t+89h=-16t2+146t+89 Find the two points in time when the object is 126 feet above the ground (to one decimal places). Answer: The object is 126 feet off the ground at the following times: (Enter your two answers separated by a comma. Round to ONE decimal places.)
An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity Vx as a function of time is given by: Vx(t) = at - Bt3, where a = 6.8 m/s2 and B = 4.0 m/s4 I. At t = 1.8 s, what is the x-component of the velocity of the object? (Express your answer with the appropriate units.) II. At t = 1.8 s, what is the x-component of the acceleration of the object? (Express your answer with the appropriate units.)
A hammer of mass m = 0.475 kg is moving horizontally at a velocity of v = 6.5 m/s when it strikes a nail and comes to rest after driving the nail a distance Δx = 1.2 cm into a board. 1)What is the duration of the impact, in seconds, assuming the acceleration of the hammer was constant? 2)

SEE MORE QUESTIONS

Recommended textbooks for you

Glencoe Physics: Principles and Problems, Student…

Physics

ISBN:

9780078807213

Author:

Paul W. Zitzewitz

Publisher:

Glencoe/McGraw-Hill

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Glencoe Physics: Principles and Problems, Student…

Physics

ISBN:

9780078807213

Author:

Paul W. Zitzewitz

Publisher:

Glencoe/McGraw-Hill

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

The position of a dragonfly is given by 7 = [2.80 m + (0.04 m/s²)t²]î – (0.02 m/s³) t³ ĵ+ (0.06 m/s²) t² k - - Find the average velocity in the time interval t, = 0 to t, = 2.0 s. What are the x- , y-, and z-components of the instantaneous velocity at time t = 1.0 s.