The first, third, fourth, fifth and sixth
Answer:
a) 
b) the motorcycle travels 155 m
Explanation:
Let
, then consider the equation of motion for the motorcycle (accelerated) and for the car (non accelerated):

where:
is the speed of the motorcycle at time 2
is the velocity of the car (constant)
is the velocity of the car and the motorcycle at time 1
d is the distance between the car and the motorcycle at time 1
x is the distance traveled by the car between time 1 and time 2
Solving the system of equations:
![\left[\begin{array}{cc}car&motorcycle\\x=v_0\Delta{t}&x+d=(\frac{v_0+v_{m2}}{2}}) \Delta{t}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dcar%26motorcycle%5C%5Cx%3Dv_0%5CDelta%7Bt%7D%26x%2Bd%3D%28%5Cfrac%7Bv_0%2Bv_%7Bm2%7D%7D%7B2%7D%7D%29%20%5CDelta%7Bt%7D%5Cend%7Barray%7D%5Cright%5D)

For the second part, we need to calculate x+d, so you can use the equation of the car to calculate x:

Answer:
a

b

Explanation:
From the question we are told that
The wavelength is 
The energy is 
This energy is mathematically represented as

Where c is the speed of light with a value 
h is the Planck's constant with the value 
n is the number of pulses
So

substituting values


Given that the pulses where emitted 20 times in one second then the period of the pulse is


Hence the average power of photons in one 80-mJ pulse during 1 s is mathematically represented as

substituting values


Answer:
P.E = 4.398 Joules.
Explanation:
Given the following data;
Spring constant, k = 71.8N/m
Displacement, x = 0.35m
To find the elastic potential energy;
The elastic potential energy of an object is given by the formula;
Substituting into the equation, we have;
Elastic potential energy = 4.398 Joules.
<em>Therefore, the elastic potential energy of the spring is 4.398 Joules. </em>
After they are all used up they can’t be renewed or used anymore.