3. a) The velocity of a platform in an amusement park which moves along the s-axis is given by V= 2- 4t + 5t* , where t is in seconds and v is in m/s. The platform is at the position S, = 3 'm when = 0 Determine: (i) The position S, velocity V, and acceleration a when = 3s. (ii) The time at which the velocity of the platform is maximum.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3. a) The velocity of a platform in an amusement park which moves along the s-axis
is given by v = 2– 4t + 5t²ª , where t is in seconds and v is in m/s. The platform
is at the position
S, = 3
'm when =0
Determine:
(i)
The position S, velocity v, and acceleration a when != 3s.
(ii)
The time at which the velocity of the platform is maximum.
b) The race car A in Figure Q3 follows path a-a while race car B follows path b-b
on the unbanked track. If each car has a constant speed limited to that
corresponding to a lateral (normal) acceleration of 0.8g, determine the times
a and 's for both cars to negotiate the turn as delimited by the line C-C.
C
a
b
88 m
72 m
b
B
a
A
Transcribed Image Text:3. a) The velocity of a platform in an amusement park which moves along the s-axis is given by v = 2– 4t + 5t²ª , where t is in seconds and v is in m/s. The platform is at the position S, = 3 'm when =0 Determine: (i) The position S, velocity v, and acceleration a when != 3s. (ii) The time at which the velocity of the platform is maximum. b) The race car A in Figure Q3 follows path a-a while race car B follows path b-b on the unbanked track. If each car has a constant speed limited to that corresponding to a lateral (normal) acceleration of 0.8g, determine the times a and 's for both cars to negotiate the turn as delimited by the line C-C. C a b 88 m 72 m b B a A
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