Answer:

Explanation:
a(t)=20t i+sin(t) j +cos(2t) k
v(t)=
=
---------------eqn 1
given v(0)=i
i=

from equation 1
V(t)=
----------eqn 2
now r(t)=

given r(0)=j
0i+1j+ok = 


Answer:
The average force is 1578.94 N.
Explanation:
Given that,
Mass of baseball = 150 g
Speed = 45 m/s
Speed of pitcher = 60 m/s
Time = 9.5 ms
We need to calculate the average force
Using formula of impulse

...(I)
....(II)
From equation (I) and (II)

Where, m = mass of baseball
= final velocity
= Initial velocity
= time
Put the value into the formula


Hence, The average force is 1578.94 N.
Answer:
An atom always has the same number of electrons as protons. Electrons have an electric charge of -1 and protons have an electric charge of +1. Therefore, the charges of an atom's electrons and protons “cancel out.” This explains why atoms are neutral in electric charge.
Explanation:
|V| = 10.33 units and the direction θ = -47.35° or 312.65°.
Given the x and y components of a vector, we can calculate the magnitude and direction from these components.
Applying the Pythagorean theorem we have that the magnitude of the vector is:
|V| = 
|V| = 
The expression for the direction of a vector comes from the definition of the tangent of an angle:
tan θ =
------> θ = arc tan 
θ = arc tan 
θ = -47.35° or 312.65°
Answer:
0.72 kg per cubic m
Explanation:
Mass = 14.4 kg
Volume = lbh = 4*1*5 = 20 cubic m
