The x-coordinate of a particle in curvilinear motion is given by x = 23- 3t, where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by a, 4t. If the particle has y-components y = 0 and y = 4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t=2 sec. Sketch the path for the first 2 seconds of motion, and show the velocity and accel- eration vectors for t = 2 sec.

The x-coordinate of a particle in curvilinear motion is given by x = 23- 3t, where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by a, 4t. If the particle has y-components y = 0 and y = 4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t=2 sec. Sketch the path for the first 2 seconds of motion, and show the velocity and accel- eration vectors for t = 2 sec.

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...

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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

2/63 The x-coordinate of a particle in curvilinear motion
is given by x = 2t³ - 3t, where x is in feet and t is in
seconds. The y-component of acceleration in feet per
second squared is given by a, = 4t. If the particle has
y-components y = 0 and y = 4 ft/sec when t = 0, find
the magnitudes of the velocity v and acceleration a
when t = 2 sec. Sketch the path for the first
2 seconds of motion, and show the velocity and accel-
eration vectors for t = 2 sec.

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Step 4: Net acceleration and velocity at t=2 sec

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