Answer:
The position of the particle is 6m
The velocity of the particle is 16 m/s in negative direction
The acceleration of the object is -40 m/s²
Explanation:
Given;
motion of the particle along a straight line as x = 6 + 4t² - t⁴
The position of the object when t = 2s
x = 6 + 4(2)² - (2)⁴
x = 6 + 16 - 16
x = 6m
The velocity of the object when t = 2s
Velocity = dx/dt
dx/dt = 8t - 4t³
when t = 2s
Velocity = 8(2) - 4(2)³
Velocity = 16 - 32
Velocity = -16m/s
Velocity = 16 m/s (in negative direction)
The acceleration of the object when t = 2s
Acceleration = d²x/dt² = 8 - 12t²
Acceleration = 8 - 12 (2)²
Acceleration = -40 m/s²
Answer:
Density of a substance is the ratio of mass of the substance to its volume.
The total momentum before a collision is equal to the total momentum after the collision if no external forces act on the system.
Hope this helps
Explanation:
Using Newtons second law on each block
F = m*a
Block 1

Block 2

Block 3

Solving Eq1,2,3 simultaneously
Divide 1 and 2

Put Eq 4 into Eq3

Put Eq 5 into Eq2 and solve for a

Substitute back in Eq2 and use Eq4 and solve for T2 & T1
