Answer:
- Distance between car and the deer when the car stopped = 20 m
- The time required for you to stop once you press the brakes = less than 5 s in order not to hit the deer.
Explanation:
Using the equations of motion,
In the 0.5 s reaction time, we need to first calculate how far he has travelled in that time.
a = 0 m/s² (Since the car is travelling at constant velocity)
x = ?
Initial velocity = u = 20 m/s
x = ut + at²/2
x = 20×0.5 + 0 = 10 m
From that moment,
a = - 10 m/s²
u = initial velocity at the start of the deceleration = 10 m/s
v = final velocity = 0 m/s
x = ?
v² = u² + 2ax
0² = 10² + 2(-10)(x)
20x = 100
x = 5 m
Total distance travelled from when the deer stepped onto the road = 10 + 5 = 15 m
Distance between car and the deer when the car stopped = 35 - 15 = 20 m
b) To determine the time required to stop once you step on the brakes
u = 10 m/s
t = ?
v = 0 m/s²
x = distance from when the brake was stepped on to the deer = 35 - 10 = 25 m
x = (u + v)t/2
25 = (10 + 0)t/2
10t = 50
t = 5 s
Meaning the time required to stop once you step on the brakes is less than 5s.
When the diver reaches maximum height, the upward velocity will be zero.
We shall use the formula
v^2 = u^2 - 2gh
where
v = 0 (velocity at maximum height)
u = 1.2 m/s, intial upward velocity
g = -9.8 m/s^2, gravitational acceleration (downward)
h = maximum height attained above the diving board.
Therefore
0 = 1.2^2 - 2*9.8*h
h = 1.2^2/(2*9.8) = 0.0735 m
Answer: 0.074 m (nearest thousandth)
Answer:
f=ma
Explanation:
According to second law of motion Force is directly proportional to rate of change of momentum.
so F is directly proportional to
we know that momentum P= MV
so
thus we get F=ma.
The acceleration of the rocket is
Explanation:
The impulse exerted by the gas expelled by the rocket is equal to the change in momentum of the gas. Mathematically:
which can be rewritten as
F is the force exerted on the rocket
is the amount of mass of gas expelled per second
is the velocity of the gas
Solving for F,
This force acts upward, but we also know that there is another force acting on the rocket, the force of gravity, acting downward. Its magnitude is
where
m = 5000 kg is the mass of the rocket
is the acceleration of gravity
Therefore, the net force on the rocket is:
Now we can find the acceleration of the rocket by applying Newton's second law; we find:
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The blu-ray standard that defines rewritable disks is BD-RE which stands for Blu-ray Disc Recordable.
<h3>
What is BD-RE?</h3>
BD-RE stands for Blu-ray Disc Recordable and it refers to two direct to disc optical disc recording technologies that can be recorded on to a Blu-ray-based optical disc with an optical disc recorder.
Thus, the blu-ray standard that defines rewritable disks is BD-RE which stands for Blu-ray Disc Recordable.
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