(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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Sounds like the situation is modeled like so:
[Light] - - - - - - - - - - [You] => - - -
- - - - - - - - - - - - - - - [Cop] - - - - -
<= = = 200 m = = =>
where your velocity is 27.8 m/s to the right. So the question is asking, is it possible that your car, given that it accelerates at a maximum of 1/5 m/s^2, can reach a speed of 27.8 m/s from rest in the time it takes for it to cover 200 m.
The car's position at time 
is
The time it takes to traverse 200 m is
Your car's velocity at time , starting from rest, is
so that after 16.3 s, your car is moving at a speed of
which is less than the speed the cop claims you were going, so the cop is not correct.
Yep. I think I can.
Horizontal motion doesn't speed up or slow down.
distance = (speed) x (time)
5.4 m = (3.5 m/s) x (time)
Divide each side
by 3.5 m/s: (5.4 m) / (3.5 m/s) = time
time = 1.543 seconds (rounded) .
That's how much time the stone took to fall from the bridge to the water.
Now we can go on to the vertical distance:
Do you remember this physics formula for falling distance ?
Distance = (1/2) (gravity) (time)²
Distance = (1/2) (9.8 m/s²) (1.543 sec)²
= (4.9 m/s²) x (2.38 sec²)
= 11.7 meters .
Newton's second law is F = ma where F is force, m is mass, and a is acceleration. If you know the mass and acceleration of an object you can find it's force using his formula.
First, we have to figure out how many square meters there are in 29,000 acres.
29,000 acres * 4047^2 = <span>117,363,000 m^2
Now to find the burn rate in minutes, we must find how many minutes there are in a week.
7 * 24 = 168 (hours)
168 * 60 = 10,080 (Minutes)
</span>117,363,000 / 10,080 = 11,643
About <span>11,643m^2 of forest were burned every minute.</span>
