Answer:
101.54m/h
Explanation:
Given that the buses are 5mi apart, and that they are both driving at the same speed of 55m/h, rate of change of distance can be determined using differentiation as;
Let l be the be the distance further away at which they will meet from the current points;
#The speed toward each other.

Hence, the rate at which the distance between the buses is changing when they are 13mi apart is 101.54m/h
Answer:
35%
Explanation:
The car's engine gives off 65% thermal energy
So only 35 % is converted into mechanical energy .
input heat = Q₁ = 100
output heat = Q₂ = 65
Work output = Q₁ - Q₂ = W
W = 100 - 65 = 35
Efficiency = W / Q₁ X 100
= (35/ 100) X 100
= 35%.
Answer:
The value of of the Boltzmann constant is
.
Explanation:
Generally the formula for average kinetic energy of a molecule :
where,
k = Boltzmann’s constant
T = temperature = 290 K
Given:
Number of molecules in 1.7 moles:

Average kinetic energy of 1.7 moles = 1.4 MJ =
Average kinetic energy of 1 molecule = 

Answer:
90 km/hr= 90000/3600=25 m/s initial velocity
-25/ 2 (-4.9)= 2.551 secs
h(2.551)= -4.9 (2.551)² + 25(2.551)=-31.8872449+63.775 = 31.8m
The distance would be 31.8 meters, also that person will have sore arm.