1. A rocket was launched vertically such that its acceleration is as shown by the graph. Assuming x(0)=0 and v(0)=0, graph the x vs t and v vs t curves and determine the maximum velocity and maximum displacement. a (m/s) -(10/49)(t – 14t), 040

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Subject: Dynamics of Rigid Bodies

Topic: Cuvilinear Motion Tangential and Normal

1. A rocket was launched vertically such that its acceleration is as shown by the graph. Assuming x(0)=0 and
v(0)=0, graph the x vs t and v vs t curves and determine the maximum velocity and maximum displacement.
a (m/s)
-(10/49)(t – 14t), 0<t< 7
10,
7<t<15
t (s)
a(t) =
-(5/3)t + 35,
15 <t< 18
5,
18 <t< 40
-9.81
t> 40
Transcribed Image Text:1. A rocket was launched vertically such that its acceleration is as shown by the graph. Assuming x(0)=0 and v(0)=0, graph the x vs t and v vs t curves and determine the maximum velocity and maximum displacement. a (m/s) -(10/49)(t – 14t), 0<t< 7 10, 7<t<15 t (s) a(t) = -(5/3)t + 35, 15 <t< 18 5, 18 <t< 40 -9.81 t> 40
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