The position of a dragonfly that is flying parallel to the ground is given as a function of time by 7 = [2.90 m+ (0.0900 m/s²)t²] (0.0150 m/s²³)t³j. Part B At the time calculated in part (a), what is the magnitude of the acceleration vector of the insect? Express your answer with the appropriate units. a = xa μA Xb 0.062 X.10n

The position of a dragonfly that is flying parallel to the ground is given as a function of time by 7 = [2.90 m+ (0.0900 m/s²)t²] (0.0150 m/s²³)t³j. Part B At the time calculated in part (a), what is the magnitude of the acceleration vector of the insect? Express your answer with the appropriate units. a = xa μA Xb 0.062 X.10n

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

A fish swimming in a horizontal plane has velocity i = (4.00 î + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is i = (12.0 î − 2.60 ĵ) m. After the fish swims with constant acceleration for 15.0 s, its velocity is = (25.0 î − 1.00 ĵ) m/s. (a) What are the components of the acceleration of the fish? ax = ay = (b) What is the direction of its acceleration with respect to unit vector î? Draw coordinate axes on a separate piece of paper, and then add the acceleration vector with its tail at the origin. Write the numerical values for the x and y components and then use this drawing to determine the angle.° counterclockwise from the +x-axis(c) If the fish maintains constant acceleration, where is it at t = 28.0 s? x = m y = m In what direction is it moving? ° counterclockwise from the +x-axis
The velocity v→ of a particle moving in the xy plane is given by v→=(5.50t-5.00t2)î+9.00ĵ, with v→ in meters per second and t (> 0) in seconds. At t = 1.40 s and in unit-vector notation, At what positive time does the speed equal 10.0 m/s?
A helicopter is ascending vertically with a speed of 5.30 m/s. At a height of 107 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units. My Answer is that t= 4.163 but what unit is it? I tried s, m/s, min but none of them were correct. PLEASE HELP CONFIRM MY ANSWER and THE UNIT along with 4.163
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?
A spaceship is traveling at a constant velocity of v(t) = 300.0i m/s when its rockets fire, giving it an acceleration of a(t) = (9.0i + 9.0k) m/s^2. What is its velocity (in m/s) 4 s after the rockets fire? (Express your answer in vector form.)
The position r→ of a particle moving in an xy plane is given by r→=(3.00t^3−7.00t)i^+(6.00−2.00t^4)j^ with r→ in meters and t in seconds. In unit-vector notation, calculate(a)r→, (b)v→, and (c)a→ for t = 2.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s? Give your answer in the range of (-180o; 180o).
A jeep travels a distance d=22.1m in the positive x direction in a time t1=20.2s, at which point the jeep brakes, coming to rest in t2=7.38s. 1. What was the jeep's instantaneous velocity in the horizontal direction, in meters per second, when it began braking? 2. Using the result from question 1, what was the jeep's horizontal component of acceleration, in meters per squared second, during the braking period?
An unidentified flying object (UFO) is observed to travel a total distance of 49000 m, starting and ending at rest, over a duration of 3.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 20,796 g s 10,398 g s 2,120 g s 1,060 g s
Q.4. A robot lands on Mars. Its x and y coordinates are given by equations:x(t) = 2m –(0.25m/s2)t2y(t)= (1.0 m/s)t +(0.025m/s3) (a).What is the position and distance from landing at t=2 seconds?(b)What is thedisplacement and average velocity during the interval from t=0 s to t= 2?(c).Derivea general expression for its instantaneous velocity vector and find its instantaneousvelocity in its component form as well as in terms of its magnitude.
An unidentified flying object (UFO) is observed to travel a total distance of 19000 m, starting and ending at rest, over a duration of 4.23 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.
x(t)=7.0 t^3 y(t) = 4.o t^2 - 2.1 t (1) Write a vector expression for the ball’s position as a function of time ? (2) Write a vector expression for the ball’s velocity as a function of time ?(3) Write a vector expression for the ball’s acceleration as a function of time ? (4) What is the distance of the space shuttle to the base 1 minute after it has been launched ?
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?