What is the delay between a stimulus and the response it triggers in an organism?
1 answer:
You might be interested in
Answer:
Acceleration of the object will be
Explanation:
We have given mass of the object m = 9 kg
spring constant k = 95 N/m
Spring is stretched by 10 cm
So x = 10 cm = 0.1 m
We know that force is given by
From newton's law we also know that force is given by
F = ma , here m is mass and a is acceleration
So
The acceleration of the particle as a function of time t is
The velocity of the particle at time t is the integral of the acceleration:
where the constant C can be found by requiring that the velocity at time t=0 is v=3:
and we find
so the velocity is
The position of the particle at time t is the integral of the velocity:
where D can be found by requiring that the initial position at time t=0 is zero:
x(0)=0
from which we find D=0, so
To solve the problem, now we just have to substitute t=5 into x(t) and v(t) to find the position and the velocity of the particle at t=5.
The position is:
and the velocity is:
The velocity of the particle at time t is the integral of the acceleration:
where the constant C can be found by requiring that the velocity at time t=0 is v=3:
and we find
so the velocity is
The position of the particle at time t is the integral of the velocity:
where D can be found by requiring that the initial position at time t=0 is zero:
x(0)=0
from which we find D=0, so
To solve the problem, now we just have to substitute t=5 into x(t) and v(t) to find the position and the velocity of the particle at t=5.
The position is:
and the velocity is: