(a) The time it takes for the police officer to catch up to the speeding car is determined as 0.31 s.
(b) The speed of the police officer at the time he catches up to the driver is 136.8 km/h.
<h3>
Time of motion of the police</h3>
The time taken for the police to catch up with the driver is calculated as follows;
v = at
where;
- a is acceleration = 11.8 km/h/s, = 3.278 m/s²
- v is velocity = 135 km/h = 37.5 m/s
t = v/a
t = 37.5/3.278
t = 11.4 seconds
(v1 - v2)t = ¹/₂at² --- (1)
(v1 - v2)t = v1²/2a --- (2)
From (1):
(v1 - 37.5)t = ¹/₂(3.278)t²
(v1 - 37.5)t = 1.639t²
v1 - 37.5 = 1.639t
v1 = 1.639t + 37.5 -----(3)
From (2):
(v1 - 37.5)t = v1²/(2 x 3.278)
(v1 - 37.5)t = 0.153 ----- (4)
solve 3 and 4;
(1.639t + 37.5 - 37.5)t = 0.153
1.639t² = 0.153
t² = 0.0933
t = 0.31 s
<h3>Speed of the police officer</h3>
v1 = 1.639(0.31) + 37.5 = 38 m/s = 136.8 km/h
Learn more about velocity here: brainly.com/question/4931057
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Answer:
when matter is heated or cooled it melts or freezes for at least the atoms do
Explanation:
for example take water when you heat it up the water molecules melt producing vapor water vapor and when you freeze it or cool it down it turns into liquid or turned into a solid by turning into ice. the three main properties of matter are gas liquid and solid and if we put water into these three different categories it turns into water vapor as gas liquid water as liquid and Ice as a solid
hope this helps
700 J is the work done by the system.
<u>Explanation:</u>
The first law of thermodynamics is that the change in internal energy of the system is equal to the net heat transfer to the system minus the complete work performed by the system.

Where,
∆U – Change in internal energy
Q – Heat transfer to the system
Q – Work done
Here,
<u>Given data:</u>
∆U - 400 J
Q - 1100 J
We need to the work done by the system (W)
By applying the given values in the above equation, we get
400 = 1100 - W
W = 1100 - 400 = 700 J
Answer:

Explanation:
For a charged particle moving perpendicularly to a magnetic field, the magnitude of the force exerted on the particle is:

where
q is the magnitude of the charge of the particle
v is the velocity of the particle
B is the magnetic field strength
In this problem, we have
is the charge of the electron
is the velocity
is the magnetic field
Substituting into the formula, we find the force:

Answer:
Option E, double the charge to 2, is the right answer.
Explanation:
Given the electric field at point = P
The point charge = Q
Distance =R
Magnitude = E
Due to a certain charge, the magnitude of the electric field at a point is defined as:
Here, we can see that E is proportionate to Q and 1/r^2
Hence, double the charge to 2 and at the same time reduce the distance to /2 will half the E
Therefore, doubling the charge will doubling E
So the answer is (e) is correct.