Explanation:
(a) After the engines stop, the rocket reaches a maximum height at which it will stop and begin to descend in free fall due to gravity.
(b) We must separate the motion into two parts, when the rocket's engines is on and when the rocket's engines is off.
First we must find the rocket speed when the engines stop:

This final speed is the initial speed in the second part of the motion, when engines stop until reach its maximun height. Therefore, in this part the final speed its zero and the value of g its negative, since decelerates the rocket:

So, the maximum height reached by the rocket is:

(c) In the first part we have:

And in the second part:

So, the time it takes to reach the maximum height is:

(d) We already know the time between the liftoff and the maximum height, we must find the rocket's time between the maximum height and the ground, therefore, is a free fall motion:


So, the total time is:

The wavelength of the radiation emitted by the star is 183 nm.
Explanation:
As per Wien's displacement law, the product of emitted wavelength and temperature of the star will be equal to 2.898 × 10⁻³ mK.

So if the wavelength of the emitted radiation by Sun is given as 550 nm, then the temperature of the Sun will be


Then if the temperature of star is said to be 3.5 times hotter than Sun, then the temperature of Star = 3.5×5.27×10³ = 15.81×10³ K.
With this temperature, the wavelength of the emitted radiation can be found as follows:

So, the wavelength of the radiation emitted by the star is 183 nm.
Answer:
Part a)
change in potential energy is given as

Part B)
angular speed of the rod is given as

Part c)
Linear speed of the end of the rod is given as

Part d)
when a particle falls from rest to distance d = 1 m

Explanation:
Part A)
As we know that the gravitational potential energy change is given as



Part B)
As we know that change in gravitational energy is equal to gain in kinetic energy
so we have




Part c)
Linear speed of the end of the rod is given as


Part d)
when a particle falls from rest to distance d = 1 m
so we will have



I would say C.
Developing a plan is important because it will motivate you and tell you when to get things done. It is the most efficient
Hope this helped :)
Recall that to compute for the emf of a circuit given current and inductance, we must recall that

where I is the current (A), M is the mutual inductance (h), and t is the time (ms). Since the current must not exceed 80.0 V, we have



From this, we see that it must take at least 0.35 ms so it doesn't exceed 80 V.
Answer: 0.35 ms