Question

A particle is moving along a straight line such that its acceleration is defined as a = (-2v) m/s2, wherev is in meters per second. If v = 20 m/s when s = 0 and t = 0, determine the particles position, velocity,and acceleration as functions of time. Also find s and v when t = 1s and t = 5s

Name: a particle is moving along a straight line such that its acceleration is defined as a 2v ms2 wherev is in meters per second if v 20 ms when s 0 and t 0 determine the particles position veloc 12299
Uploaded: 2022-09-30T07:38:02-08:00
Duration: 4 min 27 s
Channel: Sahil Kumar
Description: a particle is moving along a straight line such that its acceleration is defined as a 2v ms2 wherev is in meters per second if v 20 ms when s 0 and t 0 determine the particles position veloc 12299

          A particle is moving along a straight line such that its acceleration is defined as a = (-2v) m/s2, wherev is in meters per second. If v = 20 m/s when s = 0 and t = 0, determine the particles position, velocity,and acceleration as functions of time. Also find s and v when t = 1s and t = 5s

Added by Jordan B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sahil Kumar

09/30/2022

Step 1

- Acceleration: \( a = \frac{dv}{dt} = -2v \) (m/s²) - Initial conditions: \( v(0) = 20 \) m/s, \( s(0) = 0 \), \( t = 0 \) - Find: \( v(t) \), \( s(t) \), \( a(t) \) - Also find \( s \) and \( v \) at \( t = 1 \) s and \( t = 5 \) s --- Show more…

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A particle is moving along a straight line such that its acceleration is defined as a = (-2v) m/s2, wherev is in meters per second. If v = 20 m/s when s = 0 and t = 0, determine the particles position, velocity,and acceleration as functions of time. Also find s and v when t = 1s and t = 5s