All machines have three fundamental hazards: moving parts, point of operation, and?
1 answer:
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Answer:
a) s = 42 m
b) V = 26 m/s
c) a = 11 m/s²
Explanation:
The velocity(V) = 2 - 4t + 5t^3/2 where t is in seconds and V is in m/s
a) To get the position, we have to integrate the velocity with respect to time.
We get the position(s) from the equation:
Integrating both sides,
Integrating, we get
But at t=0, s(0) = 2 m
Therefore,
c = 2
Therefore
When t = 4,
s = 42 m
At t= 4s, the position s = 42m
b) The velocity equation is given by:
At t = 4,
V = 2 - 16 + 40 = 26 m/s
The velocity(V)at t = 4 s is 26 m/s
c) The acceleration(a) is given by:
Differentiating with respect to t,
At t = 4 s,
a = 11 m/s²