Answer:
C. Both a and b
Explanation:
Firstly, persons and objects in a moving plane as described in this question, are moving at the same speed as the plane even if there is no individual movement of these objects.
However, this question describes a person sitting still in a moving plane. This means that;
- The person is motionless in relation to everything in the plane i.e the person is not moving even if other things in the plane are.
- The person is in motion compared to everything on the ground i.e. the person is moving at the same speed as the plane, hence, in comparison with the ground, the person is moving.
Therefore, options A and B are correct
We are given that,

We need to find
when 
The equation that relates x and
can be written as,


Differentiating each side with respect to t, we get,



Replacing the value of the velocity


The value of
could be found if we know the length of the beam. With this value the equation can be approximated to the relationship between the sides of the triangle that is being formed in order to obtain the numerical value. If this relation is known for the value of x = 6ft, the mathematical relation is obtained. I will add a numerical example (although the answer would end in the previous point) If the length of the beam was 10, then we would have to



Search light is rotating at a rate of 0.96rad/s
In 6 secs, the dog covers-
S=vt
8.9*6 = 53.4 m.
In the same time, the cat covers, 53.4-3.8 = 49.6 m.
Thus, speed of the cat, v= s/t,
= 49.6/6 = 8.267 m/s
Answer:
t = 5.56 s
Explanation:
In order to calculate the time interval taken by the mountain biker to come to a stop, we will use third equation of motion and first find the deceleration:
2as = Vf² - Vi²
where,
a = deceleration = ?
s = distance = 15 m
Vf = Final Velocity = 0 m/s
Vi = Initial Velocity = 5.4 m/s
Therefore,
2a(15 m) = (0 m/s²) - (5.4 m/s)²
a = - 0.972 m/s²
Now, we use 1st equation of motion:
Vf = Vi + at
therefore,
0 m/s = 5.4 m/s + (-0.972 m/s²)(t)
t = (5.4 m/s)/(0.972 m/s²)
<u>t = 5.56 s</u>
Answer:2 ft/s
Explanation:
Given
Length of Pole is 9 ft
Length of Joe is 3 ft
Joe walks away from Pole at the rate 4 ft/s
Let Joe is x m away from Pole so its shadow length is x'
From Similar triangle concept

3x'=x+x'
x=2x'
and it is given 
Differentiating


