Answer:
2d
Explanation:
For any instance equivalent force acting on the body is
Where
m is the mass of the object
k is the force constant of the spring
d is the extension in the spring
and
d/dt(dx/dt)= is the acceleration of the object
solving the above equation we get
where
A is the amplitude of oscillation from the mean position.
k= spring constant , T= time period
Here we are assuming that at t=T/4
x= 0 since, no extension in the spring
then
A=- d
Hence
x=- d sin wt + d
now, x is maximum when sin wt=- 1
Therefore,
x(maximum)=2d
If we tossed up a coin with some velocity then its acceleration in the air is due to gravity which we can take as a = - 9.8 m/s^2
Also it is given that coin returns to initial position after 4 s
So after 4 s its displacement will become ZERO
now in this process we can say that in whole motion of the coin the net displacement of coin is zero and its acceleration is due to gravity remains constant.
We can use kinematics here
so approximate speed of the coin must be nearly 20 m/s
If deceleration = 5 m/s²
then acceleration = -5 m/s²
According to third law of motion,
= v² = 2as + u²
= v² = 2×-5×10 + 27²
= v² = -100 + 729
= v =√ 629
= 25.08 m/s
Every action has an equal and opposite reaction maybe?
