At the origin, a particle has an initial velocity of 30 feet per second and moves along the x-axis. It does not accelerate for the first five seconds, and then an opposing force acts on it, causing its velocity to decrease until it stops at time t = 10 seconds. Create the motion's a-t and s-t graphs. Determine the velocity of the particle at t = 8 s and find the distance traveled by the particle at t = 10 s. The parabola at 5 s≤t≤ 10 s has its vertex at t = 10 s. (5/31)^ 30 25 20 15 10 5 0 0 0° 5 t(s) 2° 10

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...
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At the origin, a particle has an initial velocity of 30 feet per second and moves along the x-axis. It does
not accelerate for the first five seconds, and then an opposing force acts on it, causing its velocity to
decrease until it stops at time t = 10 seconds. Create the motion's a-t and s-t graphs. Determine the
velocity of the particle at t = 8 s and find the distance traveled by the particle at t = 10 s. The parabola at
5 s≤ t ≤ 10 s has its vertex at t = 10 s.
v (ft/s)
30
25
20
15
10
5
0
0
0°
5
t(s)
2°
10
Transcribed Image Text:At the origin, a particle has an initial velocity of 30 feet per second and moves along the x-axis. It does not accelerate for the first five seconds, and then an opposing force acts on it, causing its velocity to decrease until it stops at time t = 10 seconds. Create the motion's a-t and s-t graphs. Determine the velocity of the particle at t = 8 s and find the distance traveled by the particle at t = 10 s. The parabola at 5 s≤ t ≤ 10 s has its vertex at t = 10 s. v (ft/s) 30 25 20 15 10 5 0 0 0° 5 t(s) 2° 10
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