Answer:
(a) -202 m/s²
(b) 198 m
Explanation:
Given data
- Initial speed (v₀): 283 m/s

- Final speed (vf): 0 (rest)
(a) The acceleration (a) is the change in the speed over the time elapsed.
a = (vf - v₀)/t = (0 - 283 m/s)/ 1.40s = -202 m/s²
(b) We can find the distance traveled (d) using the following kinematic expression.
y = v₀ × t + 1/2 × a × t²
y = 283 m/s × 1.40 s + 1/2 × (-202 m/s²) × (1.40 s)²
y = 198 m
Hi There! :)
<span>Examples of the period, frequency, speed of a wave in a sentence?
Examples
•</span><span>He indicated the space behind him with a </span>wave<span> of a hand.
</span><span>
•</span><span>On land only the grass and trees </span>wave, but the water itself is rippled by the wind.
•<span>But wherever it may turn there always will be the </span>wave<span> anticipating its movement.</span>
•<span>Harbor was completely submerged by the great </span>wave, which still came<span>
</span>
Answer:
1/2 Hz
Explanation:
A simple harmonic motion has an equation in the form of

where A is the amplitude,
is the angular frequency and
is the initial phase.
Since our body has an equation of x = 5cos(π t + π/3) we can equate
and solve for frequency f

f = 1/2 Hz
Answer:
Train accaleration = 0.70 m/s^2
Explanation:
We have a pendulum (presumably simple in nature) in an accelerating train. As the train accelerates, the pendulum is going move in the opposite direction due to inertia. The force which causes this movement has the same accaleration as that of the train. This is the basis for the problem.
Start by setting up a free body diagram of all the forces in play: The gravitational force on the pendulum (mg), the force caused by the pendulum's inertial resistance to the train(F_i), and the resulting force of tension caused by the other two forces (F_r).
Next, set up your sum of forces equations/relationships. Note that the sum of vertical forces (y-direction) balance out and equal 0. While the horizontal forces add up to the total mass of the pendulum times it's accaleration; which, again, equals the train's accaleration.
After doing this, I would isolate the resulting force in the sum of vertical forces, substitute it into the horizontal force equation, and solve for the acceleration. The problem should reduce to show that the acceleration is proportional to the gravity times the tangent of the angle it makes.
I've attached my work, comment with any questions.
Side note: If you take this end result and solve for the angle, you'll see that no matter how fast the train accelerates, the pendulum will never reach a full 90°!
Tranquilizers
Because they are meant to put you at ease which may cause drowsiness and mental clouding