A position of a mobile that follows a rectilinear path is x (t) = 6.3t + 1.9t ^ 3 where x is in meters and t in seconds. calculate the magnitude of the position, speed and acceleration of the phone in 5.0

A position of a mobile that follows a rectilinear path is x (t) = 6.3t + 1.9t ^ 3 where x is in meters and t in seconds. calculate the magnitude of the position, speed and acceleration of the phone in 5.0

Name: A position of a mobile that follows a rectilinear path is x (t) = 6.3t
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A position of a mobile that follows a rectilinear path is x (t) = 6.3t + 1.9t ^ 3 where x is in meters and t in seconds. calculate the magnitude of the position, speed and acceleration of the phone in 5.0

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section5.1: Vectors

Problem 3PP

See similar textbooks

Related questions

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: A diver jumps off a cliff of height h at an angle θ = 260 (see figure). He reaches a maximum height…

A: Given Data : The range of the projectile is given as x =295m. The maximum height of the projectile…

Q: A car is traveling around a circular track of 720-ft radius. If the magnitude of its total…

Q: A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates…

Q: The position vector 7 = (4.30t)î + (et + ft²) locates a particle as a function of time t. Vector is…

Q: An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In…

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

A: Given : x = 17.2t y = 4.16t - 4.90t2 t = 3.18 s

Q: A rabbit runs across a parking lot. The coordinates of the rabbit's position (in meter) are given by…

A: Consider the x-coordinate of the rabbit’s position. On differentiating the above equation with…

Q: In the sport of billiards, event organizers often remove one of the rails on a pool table to allow…

A: height = h = 2.75ft horizontal distance = x = 16.25ft initial vertical component of velocity = V0y=0…

Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

Q: A car P travels along a straight road with a constant speed v= 79 mi/hr. At the instant when the…

A: The Schematic diagram of the system is given below:Here the Velocity is divided into two components…

Q: A particle is moving in three dimensions and its position vector is given by; r(t) = (4t² + 1.7t) î…

Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…

Q: A particle moving in the x-y plane has a position vector given by r = 1.12t²i + 1.30t³j, where r is…

Q: 1. The dog runs across the backyard lot on which a set of coordinates axes has, strangely observed,…

Q: A train at a constant 54.0 km/h moves east for 38.0 min, then in a direction 49.0° east of due north…

A: Given, Speed of the train, v=54.0 km/hr It moves east for 38.0 min It moves 49o east of due north…

Q: A rocket follows a path givent by y=x-1/40 x^3(in miles). The horizontal velocity is given by Vx=x,…

A: Ans:- Image-1

Q: A hawk flies in a horizontal arc of radius 12.0 m at a constant speed of 7.1 m/s. It continues to…

Q: An athlete can jump to a height of 2.0 meters leaving the ground at an angle of θ = 60.0◦ to the…

A: Let 'u' be the velocity with which the athlete makes a projectile motion with an angle 60∘with the…

Q: A robot is programmed to go 3.0 m south and then 1.0 m east and then 4.0 m northwest. How far does…

A: Given,A robot is programmed to go 3.0 m south and then 1.0 m east and then 4.0 m northwest.

Q: the coordinates of an object moving in an xy plane vary with the time according to the eqations…

A: To determine,expressions for the possition,velocity and acceleration vectors of the object at any…

Q: A vehicle travels at a speed of 4 m/ sec along a horizontal Circular road that has a radius of 50m…

Q: In a computer game, an airplane starts at (1, 6) (in cm) on the curve y=5+(1.6t+1)^−1.3and moves…

A: Given that: Initial co ordinate (1,6) in cm y=5+(1.6t+1)-1.3 cm vx=1.6 cm/s

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

Q: A boat has an initial speed of 19 ft/s. It then increases its speed along a circular path of radius…

Q: uber eats driver-completes her route by traveling 167 m in a direction 30⁰ north of east, 140 m 20 ⁰…

Q: The car travels around the portion of a circular track having a radius of r = 500 ft such that when…

A: Givenr=500 ftvA=2 ft/sa=0.002 t ft/s2

Q: Calculate the magnitude of the acceleration (in m/s2) at t = 7.4 s

A: Instantaneous Velocity The instantaneous velocity of a particle that undergoes a displacement of ds→…

Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

Concept explainers

Projectile Motion

Topic Video

Question

100%

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 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

A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)
A vehicle travels at a speed of 4 m/ sec along a horizontal Circular road that has a radius of 50m its speed is then increased by ú= (0.05.s) m/sec² for a short distance from S = 0, where s is in meters. Calculate the magnitude of its acceleration when it has moved s = 10m in ml sec².
A particle is moving in three dimensions and its position vector is given by; r(t) = (4t² + 1.7t) î + (1.5t − 2.1)ĵ + (2.7t³ + 2t) k where r is in meters and t is in seconds. Determine the magnitude of the instantaneous velocity at t = 3s. Express your answer in units of m/s using one decimal place. Answer:
the coordinates of an object moving in an xy plane vary with the time according to the eqations x=-7.85 sin w(omega)t, and y=4-7.85 cosw(omega)t. W(omega) is constant , x,y - in meters. And t in seconds. Write expressions for the possition,velocity and acceleration vectors of the object at any time t>0.
A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates describing its motion are: x = -0.74t3 + 2.5t2 + 10.25t y = -6.23t2 + 16.45t + 8.94 where x and y are given in ft and t is given in seconds. a) Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how position, velocity, and acceleration are related. Your final answer should be given in vector form. b) Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec in mph. [Ans. to Check: v = 132.46 mph]
The position vector 7 = (4.30t)î + (et + ft²) locates a particle as a function of time t. Vector is in meters, t is in seconds, and factors e and fare constants. The figure gives the angle of the particle's direction of travel as a function of time (0 is measured from the positive direction of the x axis). What are (a) factor e and (b) factor f, including units? 20° 0° -20° 10 t(s) 20
A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 19.4t and y = 4.04t - 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and j. (Give the answer in terms of t.) F = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector v as a function of time マ= m/s (c) obtain the expression for the acceleration vector a as a function of time m/s? (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.94 s. = m/s a = m/s2
The car travels around the portion of a circular track having a radius of r = 500 ft such that when it is at point A it has a velocity of 2 ft/s, which is increasing at the rate ofa = 0.002t in ft/s, where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has travelled three-fourths the way around the track. O v = 36.83 ft s^-1 ; a = 2.74 ft s^-2 O v = 28.11 ft s^-1 ; a = 1.61 ft s^-2 O v = 17.71 ft s^-1 ; a = 0.68 ft s^-2 O None of the choices
The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 9-26.0% 8₂-49.0% and 6-76.0°, and the distances are d₁ - 5.90 m, d₂-7.40 m. and da = 12.0 m. What are the (al magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. Units (a) Number Units (b) Number i
In a computer game, an airplane starts at (1, 6) (in cm) on the curve y=5+(1.6t+1)^−1.3and moves with a constant horizontal velocity of vx=1.6cm/s. What is the plane's velocity at t= 5 s? A)magnitude = 1.69, direction = 164.6 B)None of the above C)magnitude = 1.60, direction = 90.5 D)magnitude = 1.60, direction = 161.4
A car is traveling around a circular track of 720-ft radius. If the magnitude of its total acceleration is 4.4 ft/sec² at the instant when its speed is 33 mi/hr, determine the rate aț at which the car is changing its speed. Answer: aț = ± i ft/sec?
A boat has an initial speed of 19 ft/s. It then increases its speed along a circular path of radius ρ = 80 ft at the rate of v˙=(1.4s)ft/s^2, where s is in feet. Determine the time needed for the boat to travel s = 70 ft.