Answer:
d A ball is rolling down an inclined plane.
Explanation:
When path length is equal to the displacement
then we can say that the motion of the object must be in straight line so that the distance and displacement must be same
SO here we can say
a A ball on the end of a string is moving in a vertical circle.
In circular path distance and displacement is not same
b A toy train is traveling around a circular track.
In circular path distance and displacement is not same
c A train travels 5 miles east before it stops. It then travels 2 miles west.
Net displacement is 3 miles East while distance is 7 miles
d A ball is rolling down an inclined plane.
Here its motion is in straight line so we can say that path length and displacement will be same
e A ball rises and falls after being thrown straight up from the earth's surface.
In this type of to and fro motion path length is not same as displacement
Answer:
About 7.67 m/s.
Explanation:
Mechanical energy is always conserved. Hence:

Where <em>U</em> is potential energy and <em>K</em> is kinetic energy.
Let the bottom of the slide be where potential energy equals zero. As a result, the final potential energy is zero. Additionally, because the child starts from rest, the initial kinetic energy is zero. Thus:

Substitute and solve for final velocity:

In conclusion, the child's speed at the bottom of the slide is about 7.67 m/s.
Answer:
a) Bullet will hit
b) Bullets will not hit
Explanation:
Given:
The velocity of the bullet, u =
in the rest frame of the bullet pursuit car
The velocity of the original frame of reference, v =
with respect to the pursuit car.
Now, according to the Galileo
the velocity of the bullet in the original frame of reference (u') will be
u' = u - v
on substituting the values we get
u' = 
or
u' = 
or
u' = 
since this velocity (
) is greater than the (
)
hence,
<u>the bullet will hit</u>
Now, according to the Einstein theory
the velocity of the bullet in the original frame of reference (u') will be

on substituting the values we get

or

or

since,
is less than (
), this means that the bullet will not hit
C. National Park Planning
Biodiversity - <span>the variety of life in the world or in a particular habitat or ecosystem.
Clear cutting and oil drilling both decrease the variety of life, destroying habitat around them.
Farming decreases biodiversity because it decrease the variety of flora in that area, depending on what crop is planted.</span>
Answer:
Parabola
Explanation:
The motion of a projectile consists of two independent motions:
- A uniform motion along the horizontal (x) direction, with constant velocity
. In fact, there are no forces acting along this direction (if we neglect air resistance), so the acceleration is zero and the velocity is constant
- An uniformly accelerated motion along the vertical (y) direction, with constant acceleration
downward (acceleration due to gravity). This acceleration is due to the force of gravity that pulls the projectile downward.
The composition of these two motions gives a parabolic trajectory. In fact, the equations of the motion along the two directions are:
(1)
(2)
Solving for t in eq.(1),

and substituting into (2)

which is the equation of a parabola.