Given, position vector of a particle, r(t) = 2t i. Which of the following statements is/are true? O All of the above. Magnitude of acceleration is linearly proportional to t. The speed of the particle varies with the time linearly. Direction of velocity changes with the time but direction of acceleration does not change with the time.

Given, position vector of a particle, r(t) = 2t i. Which of the following statements is/are true? O All of the above. Magnitude of acceleration is linearly proportional to t. The speed of the particle varies with the time linearly. Direction of velocity changes with the time but direction of acceleration does not change with the time.

Name: Given, position vector of a particle, r(t) = 2t i. Which of the follo
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: Given, position vector of a particle, r(t) = 2t i. Which of the following statements is/are true?All of the above.Magnitude of acceleration is linearlyproportional to t.The speed of the particle varies with thetime linearly.Direction of velocity cha

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....

See similar textbooks

Similar questions

In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi=(3.00i2.00j)m/s and is at the origin. At t = 3.00 s, the particles velocity is vf=(9.00i+7.00j)m/s. Find (a) the acceleration of the particle and (b) its coordinates at any time t.
A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?
The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 . Find (a) the velocity and acceleration of the particle as functions of time, (b) the velocity and acceleration at t=2.0s , (c) the time at which the position is a maximum, (d) the time at which the velocity Is zero, and (e) the maximum position.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
The projectile is launched with a velocity vo. Determine the range R, the maximum height h attained, and the time of flight. Express the results in terms of the angle 0 and vo. The acceleration due to gravity is g. y R- Neglecting the size of the ball, determine the magnitude vA of the basketball's initial velocity and its velocity when it passes through the basket.
A particle moves through 3-space in such a way that its acceleration is a(t)= 8sin 2ri +8cos 2tj+e'k . where t is time measured in seconds. The initial velocity of the particle is v, = 2i – 3j+k. At time t = t , find i) the velocity vector of the particle. ii) the scalar tangential and normal components of acceleration.
sin(20) where vo is the initial velocity in feet per second and is the angle of elevation. If yo 2300 feet per second and is changed from 13° to 14° use differentials to approximate the change in the range. Round your answer to the nearest integer. The range R of a projectile is R = Select one: Ⓒa. 2811 ft X b. 2593 ft C. 5623 ft d. 4568 ft 5186 ft e. = Incorrect 32
1) A dog. initially at position 2.8 m [W] of its owner, runs to retrieve a stick that is 12.6 m [E] of its owne. a) Draw an illustration showing the position and displacement vectors in this situation. b) Determine the displacement the dog needs to reach the stick. 2) The table below gives the position-time data of a ball that has left a bowler's hand and is rolling forward. Detemine the displacement between the following times: (Please refer to the photo) 3) A motorcycle took only 6.0 seconds to go from rest to 78 m/s (2.8 x 102 km/hr), earning the world record for motorcycle acceleration. Calculate the magnitude of the record average acceleration in m/s2
1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an angle of 50.0° with respect to the + x direction. It also has an initial velocity of vi = 7.00 m/s at an angle of 10,0° The object begins at the coordinates (0, 0). a) What are the coordinates of the object at t = 7.00 s? Want Cx, y) at t =?4 4tzテメ0チ=XT vse this Con Vxi = \V;l cos v +ハ Ay=lalsin Ga b) What is its total velocity vector of the object as a magnitude and direction at t = 7.00 s? a) Ov= Ton
(The complete question is in the picture) The velocity of a particle as it moves alongthe trajectory (dashed line) is shown in the figure. Whatis the direction of the perpendicular (a⊥) and parallel (ak)components of the acceleration if the speed of the objectas it moves to the right is decreasing?A. a⊥ towards up and aktowards rightB. a⊥ towards down and aktowardsleftC. a⊥ towards up and aktowards leftD. a⊥ towards down and aktowardsright
Show, using graphical vector addition, that the acceleration vector for an object in uniform circular motion points toward the center of the circular path. Use the factthat acceleration in two or more dimensions is defined as