Answer:
Option (a)
Explanation:
We will discard options that don't fit the situation:
Option b: <em>Incorrect </em>since if the driver "hits the gas" then velocity is augmenting and it's not constant.
Option c and d: <em>Incorrect </em>since the situation doesn't give us any information that could be related directly to the terrain or movement direction.
Option a: Correct. At <em>stage 1</em> we can assume the driver was going at constant speed which means acceleration is constantly zero. At <em>stage 2 </em>we can assume the driver augmented speed linearly, this is, with constant positive acceleration. At <em>stage 3 </em>we can assume the driver slowed the speed linearly, with constant negative acceleration.
Explanation:
The nucleus of an atom can be modeled as several protons and neutrons closely packed together.
Mass of the particle, 
Radius of the particle, 
(a) The density of the nucleus of an atom is given by mass per unit area of the particle. Mathematically, it is given by :
, V is the volume of the particle



So, the density of the nucleus of an atom is
.
(b) Density of iron, 
Taking ratio of the density of nucleus of an atom and the density of iron as :



So, the density of the nucleus of an atom is
times greater than the density of iron. Hence, this is the required solution.
- The length of the cross product of two vectors
- The scalar triple product of the vectors a, b, and c
- The volume of the parallelepiped determined by the vectors a, b, and c is the magnitude of their scalar triple product.
<u>Explanation</u>:
- The length of the cross product of two vectors is
| a
b | = |a| |b| sin θ
- The length of the cross product of two vectors is equal to the area of the parallelogram determined by the two vectors (see figure below).
| a
b | = - | b
a |
- Multiplication by scalars:
(ca)
b = c (a
b) = a
(cb)
a
(b + c) = (a
b) + (a
c)
- The scalar triple product of the vectors a, b, and c:
a . (b
c) = (a
b) . c
- The magnitude of the scalar triple product is the volume of the parallelepiped of the vectors a, b, and c.
- The vector triple product of the vectors a, b, and c is given as
a
(b
c) = (a.c) b - (a.b)
c