Complete Question
A person throws a pumpkin at a horizontal speed of 4.0 m/s off a cliff. The pumpkin travels 9.5m horizontally before it hits the ground. We can ignore air resistance.What is the pumpkin's vertical displacement during the throw? What is the pumpkin's vertical velocity when it hits the ground?
Answer:
The pumpkin's vertical displacement is 
The pumpkin's vertical velocity when it hits the ground is 
Explanation:
From the question we are told that
The horizontal speed is 
The horizontal distance traveled is 
The horizontal distance traveled is mathematically represented as
Where t is the time taken
substituting values
=> 
Now the vertical displacement is mathematically represented as
now the vertical velocity before the throw is zero
So
Now the final vertical velocity is mathematically represented as
substituting values
Answer:
0.0059
Explanation:
According to the question the seismic activity density is given by
Here,
Number of Earthquakes over a given time span = 424
The land area affected = 71300 mi²
So,
The seismic activity density is 0.0059
Answer:
<em>0.97c</em>
<em></em>
Explanation:
From the relativistic equation for length contraction, we have
= 
where
is the final length of the object
is the original length of the object before contraction
β = 
where v is the speed of the object
c is the speed of light in free space = 3 x 10^8 m/s
The equation can be re-written as
/ = 
For the length to contract to one-fourth of the proper length, then
/ = 1/4
substituting into the equation, we'll have
1/4 =
substituting for β, we'll have
1/4 = 
squaring both side of the equation, we'll have
1/16 = 1 - 
= 1 - 1/16
= 15/16
square root both sides of the equation, we have
v/c = 0.968
v = <em>0.97c</em>
Answer:
What was not required by the Massachusetts Education law of 1642 is;
Children were to be sent to designated schoolmaster for their learning
Explanation:
The Law of 1642 required that parents and master see to it that their children knew the principles of religion and the capital laws of the commonwealth.
The important aspects of the 1642 Law includes;
1) The responsibility for the basic education and literacy of a child are those of the parents and masters of child apprentices
2) Reading and writing competency of all children and servants are a requirement
3) It is the duty of the government, where a parent or master are unable to meet their tutoring responsibility, to see that a child is placed where the basic educational requirement will be met.
The role of a schoolmaster or the setting of a formal school were yet to be formed as at that time.
