Change minutes to hrs, divide by 60:
 30 min = .50 hrs
 45 min = .75 hrs
 12 min = .20 hrs
 ----------------
 total + 1.45 hrs, total travel time
 :
 let a = average speed for the trip
 :
 Write a dist equation, dist = speed * time
 :
 80(.5) + 100(.20) + 40(.75) = 1.45a
 40 + 20 + 30 = 1.45a
 90 = 1.45a
 a = 
 a = 62.069 km/h, for the entire trip
 and
 90 km is the total distance  
        
             
        
        
        
The kinetic energy of an object is increased by a factor of 4 . By what factor is the magnitude of its momentum changed: 2.
<h3>What is kinetic energy?</h3>
- A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force.
- Kinetic energy comes in five forms: radiant, thermal, acoustic, electrical, and mechanical.
- The energy of a body in motion, or kinetic energy (KE), is essentially the energy of all moving objects. Along with potential energy, which is the stored energy present in objects at rest, it is one of the two primary types of energy.
- Explain that a moving object's mass and speed are two factors that impact the amount of kinetic energy it will possess.
The kinetic energy of an object is increased by a factor of 4 . By what factor is the magnitude of its momentum changed: 2.
To learn more about kinetic energy, refer to:
brainly.com/question/25959744
#SPJ4
 
        
             
        
        
        
A displacement is a vector quantity that takes into account the shortest distance from the starting point to the endpoint. 
The given above gave a time interval in minutes which needs to be converted to seconds. Given that each minute is 60 seconds, 5 minutes equal 300 seconds. To determine the distance, multiply time with speed. The product is 225 m. 
Thus, the displacement is 225 m. 
        
             
        
        
        
Answer:
1) Can change the state of an object(rest to motion/ motion to rest):For example, pushing a heavy stone in order to move it. 2) May change the speed of an object if it is already moving. 4) May bring about a change in the shape of an object. For example, blowing air in balloon.
 
        
                    
             
        
        
        
a. 0.5 T
- The amplitude A of a simple harmonic motion is the maximum displacement of the system with respect to the equilibrium position
- The period T is the time the system takes to complete one oscillation
During a full time period T, the mass on the spring oscillates back and forth, returning to its original position. This means that the total distance covered by the mass during a period T is 4 times the amplitude (4A), because the amplitude is just half the distance between the maximum and the minimum position, and during a time period the mass goes from the maximum to the minimum, and then back to the maximum.
So, the time t that the mass takes to move through a distance of 2 A can be found by using the proportion

and solving for t we find

b. 1.25T
Now we want to know the time t that the mass takes to move through a total distance of 5 A. SInce we know that
- the mass takes a time of 1 T to cover a distance of 4A
we can set the following proportion:

And by solving for t, we find
