1) what is the particle\'s position at t = 1s ? 2) what is the particle\'s veloc
ID: 1520609 • Letter: 1
Question
1) what is the particle's position at t = 1s ?2) what is the particle's velocity at t = 2s?
4.0 m/s
3) what is the particle's acceleration at t = 1s?
4) what is the particle's position at t = 3s?
5) what is the particle's velocity at t = 3s?
6) what is rhe particle's acceleration at t = 3s?
https://session.masteringprysics.corn/myc_tenrvien PHY 243 Sp16 Principles of Physics !I- Tarini Homework 2 Problem 2.12 ne Problem 2.12 Part The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is zo = 1.0 m at to = 0 s. (Figure 1) Figure 1 )of! v, (m/s) 4 Part t (s)
Explanation / Answer
xo = 1.0 m @ to = 0
(1)
From fig we can can clearly see, Velocity of particle for first 2 sec, is constant !!
Position of at t = 1s,
S = xo + v*t
S = 1.0 + 4*1
S = 5.0 m
(2)
Position of at t = 2s,
S = xo + v*t
S = 1.0 + 4*2
S = 9.0 m
(3)
As Velocity is constant, particle's acceleration at t = 1s is = 0.
(4)
Acceleration of particle during t =2 to t = 4 s.
a = (0 - 4)/(4 - 2)
a = - 2 m/s^2
This means particle is deaccelerating !!
particle's position at t = 3s?
S = xo + v*t + 1/2*a*t^2
S = 9.0 + 4.0*1 - 1/2*2*1^2
S = 12.0 m
(5)
particle's velocity at t = 3s?
From Graph, v = 2 m/s
(6)
Particle's acceleration at t = 3s? = - 2 m/s^2
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