Particle 1 is subjected to an acceleration a = -kv, particle 2 is subjected to a = -kt, and particle 3 is subjected to a = -ks. All three particles start at the origins=0 with an initial velocity vo = 10.8 m/s at time t = 0, and the magnitude of k is 0.14 for all three particles (note that the units of k vary from case to case). Plot the position, velocity, and acceleration versus time for each particle over the range 0 st≤ 10 s. After you have the plots, answer the questions. Questions: If t = 5.7 s, Particle 1: Si Particle 2: si Particle 3: S= m, 3 m, 3 V= V= m, V= IM Im m/s, a i m/s, a i m/s, a= THE m/s² m/s² m/s²
Particle 1 is subjected to an acceleration a = -kv, particle 2 is subjected to a = -kt, and particle 3 is subjected to a = -ks. All three particles start at the origins=0 with an initial velocity vo = 10.8 m/s at time t = 0, and the magnitude of k is 0.14 for all three particles (note that the units of k vary from case to case). Plot the position, velocity, and acceleration versus time for each particle over the range 0 st≤ 10 s. After you have the plots, answer the questions. Questions: If t = 5.7 s, Particle 1: Si Particle 2: si Particle 3: S= m, 3 m, 3 V= V= m, V= IM Im m/s, a i m/s, a i m/s, a= THE m/s² m/s² m/s²
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Particle 1 is subjected to an acceleration a = -kv, particle 2 is subjected to a = -kt, and particle 3 is subjected to a = -ks. All three particles
start at the origins=0 with an initial velocity vo = 10.8 m/s at time t = 0, and the magnitude of k is 0.14 for all three particles (note that
the units of k vary from case to case). Plot the position, velocity, and acceleration versus time for each particle over the range 0≤t≤ 10
s. After you have the plots, answer the questions.
Questions: If t = 5.7 s,
Particle 1: s=
S
Particle 2: s= i
Particle 3: S= i
m. V=
m, v=
m,
i
Please show all steps and explain the reasoning!
i
V = i
m/s, a =
i
m/s, a = i
m/s, a =
i
m/s²
m/s²
m/s²
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Step 1: Discuss the guidelines:
VIEWStep 2: Determine the given data:
VIEWStep 3: Plot the position vs time graph:
VIEWStep 4: Plot the velocity vs time graph:
VIEWStep 5: Calculate acceleration vs time graph:
VIEWStep 6: Determine the position of the particle at t=5.7 sec:
VIEWStep 7: Determine the velocity of the particle at t=5.7 sec:
VIEWStep 8: Determine the acceleration of the particle at t=5.7 sec:
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