Answer
given,

t = 3 s
we know,


position of the particle

integrating both side


Position of the particle at t= 3 s

x = 182.98 ft
Distance traveled by the particle in 3 s is equal to 182.98 ft
now, particle’s acceleration



at t= 3 s

a = 2.98 ft/s²
acceleration of the particle is equal to 2.98 ft/s²
Answer:
2 1/2 m/s^2 or 2.5m/s^2
Explanation:
From the question
final velocity v =25m/s
Initial velocity u =10m/s
time = 6 seconds
acceleration a = ?
Using the equation for linear motion
v = u + at
25 = 10 + a x 6
25 = 10 + a6
Subtract 10 from both sides
25-10 = 10 + a6 -10
25 - 10 = 10 -10 + a6
15 = a6
Divide both sides by 6
15/6 = a6/6
5/2 = a
a = 2 1/2 m/s^2 or 2.5m/s^2
Answer:
v =3.41 m/s
Explanation:
given,
mass of block 1 = 6 Kg
mass of another block 2 = 4 Kg
coefficient of friction = 0.3
Assuming 6 Kg block is attached to the spring of spring constant 350 N/m
and distance between the two block is equal to 0.5 m
using formula


U = 43.75 J
using conservation of energy
KE = U - f.d
where f is the frictional force acting



v =3.41 m/s