The x-coordinate of a particle in curvilinear motion is given by x = 6.0t3 -4.2t where x is in feet and this in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.5t. If the particle has y-components y = 0 and vy = 4.4 ft/sec when t=0, find the magnitudes of the velocity v and acceleration a when t = 4.9 sec. Sketch the path for the first 4.9 seconds of motion, and show the velocity and acceleration vectors for t = 4.9 sec. Answers: V= a = i 427 177 ft/sec ft/sec²

The x-coordinate of a particle in curvilinear motion is given by x = 6.0t3 -4.2t where x is in feet and this in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.5t. If the particle has y-components y = 0 and vy = 4.4 ft/sec when t=0, find the magnitudes of the velocity v and acceleration a when t = 4.9 sec. Sketch the path for the first 4.9 seconds of motion, and show the velocity and acceleration vectors for t = 4.9 sec. Answers: V= a = i 427 177 ft/sec ft/sec²

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...

See similar textbooks

Related questions

Q: (a) A 60.0-kg person jumps onto the floor from a height of 3.00 m. If he lands stiffly (with his…

Q: Pictured below are eight arrows that have been shot horizontally, i.e., straight out, by archers on…

A: The expression for the time taken by the arrow to hit the ground is h=uyt+12gt2Since there is no…

Q: Hello I need help with this practice problem. Thank you.

A: Given,

Q: Two children of masses 17 kg and 27 kg sit at opposite ends of a 3.8-m teeter-totter that is pivoted…

A: To balance this teeter-totter let we place a child (20kg) at x distance from the centre: Using…

Q: 5.21 Current / flows along the positive z direction in the inner conductor of a long coaxial cable…

Q: A non-conducting container filled with 25 kg of water at 20°C is fitted with a stirrer, which is…

A: Given : mw = 25 kgT1 = 20°CM = 35kgh = 5 mg = 9.8 m/s2

Q: QUESTION 2 In Figure 1, a layer of oil (noil =1.21) floats on water (ne=1.33). A ray of light shines…

A: Refracted index of oil (Noil) = 1.21 Refracted index of water (Nwater) = 1.33 incident angle ( ) =…

Q: Theoretically, you expect to find for this vector sum of the three weight forces in static…

A: At equilibrium, net force acting on a object is zero. FNet=0 F1→+ F2→+F3→ =0 (1) Triangular law of…

Q: problems with complete 1. A car travels 40.0 miles north, 60.0 miles west and 30.0 miles southeast.…

A: According to polygon law of vector addition a number of vectors can be represented in magnitude and…

Q: Question 3: Yiğit Çınar is developing a program with a number of activities that must be completed.…

A: This problem can be solved by applying the basic concept of activity on node problems .

Q: how using a twisted pair of wires (instead of a pair of straight wires) to connect a measurement…

A: In this question we have to explain how using twisted pair of wires reduces effect of interference…

Q: I need help on this problem. Thank you.

A: The wavelength of microwaves,

Q: The electric field strength between two parallel conducting plates separated by 6.9 cm is 7.5 ×10¹…

A: Given: The separation between plates is 6.9 cm. The electric field is 7.5x104 V/m.

Q: in the An EM ware propergate in vacuum direction of the unit vector a= [0.6 a₂ +0.8ay J. If Ę (x, y,…

A: Given:Direction of propagation of EM wave: a=[0.6ax+0.8ay]Electric field: E(x,y,z,t)=E0cos[109π…

Q: *4.55 In a dielectric medium with & =7, the electric field is given by E = x(x² + 2z) + ŷx² – î(y +…

A: Electric field is, E=x2+2zx^+x2y^-y+zz^ Permittivity is, εr=7

Q: 7. Yfw=9,7 kN/m3, ysw=10 kN/m3 a. If the horizontal hydrostatic forces are equal then h=? b. If the…

A: We have to solve part a, part b for the attached question as mentioned below.

Q: A football receiver running straight downfield at 5.40 m /s is 11.5 m in front of the quarterback…

Q: What is the minimum possible speed for an electron in Hasbrouck 20?

Q: 6. Discuss how the relative density of mass, radiation (primarily from the Big Bang) and dark energy…

A: Effect of expanding universe on relative density, radiation, and dark energy. Density of matter…

Q: Suppose there is a single electron a set distance from a positive point charge Q, which quantities…

A: Given that: The charge is Q. The electric field is represented with E. It is required to determine…

Q: Existing telescopes are capable of detecting radio signals similar to those generated by humans from…

A: the correct option. Statement: Existing telescopes are capable of detecting radio signals similar to…

Q: b. Consider the lenses in the figure: OI!! A B C D E F Select all the lenses which will cause…

A: Asked: To identify the lens which will spread apart the incoming parallel rays.

Q: Please, I need help on this problem. Thank you.

A: a) It is given that

Q: Place a marker at the tip of (each) intermediate images' arrow. Place the "Final image" marker at…

A: We need to draw the ray diagram for the given combination of lens.

Q: Hello I need help with this practice problem. Thank you.

A: Let T be the tension of the string.The only force acting on the mass m1 is the tension of the…

Q: 8. WA proton moves with a velocity of V = (21-4j+k) m/s in a region in which the magnetic field is B…

A: See below

Q: A thin lens is place in front of a candle at d_o=1.5m away. An image of the candle appears on a…

Q: Two students are on a balcony a distance h above the street. One student throws a ball vertically…

A: Any type of motion can be either uniform or accelerated. Here it is the case of uniformly…

Q: A narrow beam of ultrasonic waves reflects off the liver tumor in the figure below. If the speed of…

Q: Calculate the moment of force F about point P. Express the results as Cartesian vector. Note:…

A: From the diagram:

Q: Calculate the theoretical and experimental acceleration of the following: Distance (m) : 0.8…

Q: Hello I need help with this practice problem. Thank you.

A: Given,

Q: the floor to their shoulder, a vertical distance of 126. cm. If it takes 0.226 sec for the person to…

A: We can use the work-energy principle to determine if the backpack strap will break. The work-energy…

Q: N 5. The deepest point of Lake Superior is approximately 416 metres. To what pressure would you be…

A: Given: Maximum depth of lake, dmax = 416 m To Find: It is required to determine the pressure at…

Q: A Texas cockroach of mass 0.150 kg runs counterclockwise around the rim of a lazy Susan (a circular…

A: The given values are, m=0.150 kgR=20.0 cm=0.20 mI=5.55×10-3 kg·m2v=2.22 m/sω0=2.67 rad/s

Q: A model airplane flies over an observer O with constant speed in a straight line as shown. Determine…

A: Model airplane flies with constant speed in straight line From A to B and C. 1. As we can see r will…

Q: I need help with this problem. Thank you.

Q: The speed of light is 2.998 x 10° m/s. How far does light travel in 5.0 us? Set the math up. But…

A: Given, speed of light c=2.998×108m/s time t=5 micro second = 5×10-6s

Q: a d 1. Which of the following wires will allow greater current to pass through? Why? 2. How does the…

A: 1) D wire will allow greater current to pass through because it has large surface area in which…

Q: 5. An ant is on top of a flat table. Let the surface of the table be the x-y plane. At t = 0.0 s,…

A: Initial co-ordinate of the ant = ( 1 , 2 ) cm first , ant moves in the +x-direction with a speed of…

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

Need help.....

-
The x-coordinate of a particle in curvilinear motion is given by x = 6.0t³ -4.2t where x is in feet and t is in seconds. The y-component of
acceleration in feet per second squared is given by ay = 2.5t. If the particle has y-components y = 0 and vy = 4.4 ft/sec when t = 0, find
the magnitudes of the velocity v and acceleration a when t = 4.9 sec. Sketch the path for the first 4.9 seconds of motion, and show the
velocity and acceleration vectors for t = 4.9 sec.
Your answer is partially correct.
Answers:
V=
a =
i 427
177
ft/sec
ft/sec²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Define acceleration and velocity:

VIEW

Step 2: Find the velocity and acceleration along the x-axis:

VIEW

Step 3: Find the velocity of the particle along the y-axis:

VIEW

Step 4: Find the y-coordinate of the particle:

VIEW

Step 5: Find the magnitude of the acceleration and the velocity at the given instant:

VIEW

Step 6: Draw the sketch for the first 4.9 s:

VIEW

Step 7: Velocity vector and acceleration vector at 4.9 s:

VIEW

Solution

VIEW

Step by step

Solved in 8 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
Given the ff, what is the ships resultant velocity?
The displacement of a particle is given by s = 3t3 - 42t2 + 109t - 39 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.4 ft. v= ft/sec. a = ft/sec? sec, Att= 5.4 i ft, v= i ft/sec, a = i ft/sec? S= sec, Att = 8.5 ft. v= i ft/sec, a = i ft/sec? sec, The velocity is zero when t = i sec and when t = i sec
A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 19.5 m/s. The rock leaves her hand at a height of h = 49.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s Voy m/s
Tectonic plates are large segments of the earth's crust that move slowly. Suppose one such plate has an average speed of 3.0 cm per year.(a) What distance does it move in 97 seconds at this speed?m(b) What is its speed in miles per million years?mi/My
Can someone please help with D? Thank you.
what are the equations of dimensional analysis for the attched sheet. I think A) linear velocity is LT^-1= LT^-2*T Can you please advise for (A,B,C,D,E,F) of the attached sheet
A particle moves according to the equation:v(t) = eγt – 1 Solve for the unknown(s).
A particle moves according to the equation:
What are the units (in the SI system) of a physical quantity whose dimensions are L²M'T-3? kg/s³ | kg/m kg.m 2.s-1 m².kg-² kg.m².s³ -3 | none of these
An object travels 30 km north and then 25 km south, what is the ratio of the distance traveled to the displacement?
6. If the velocity of a shark is tracked up and down the east coast and givenby v(t) = 4t − 40 miles per month where t is in months. Find the total distancethe shark travels along the coast over a year.