Answer:
a) x(t) = 10t + (2/3)*t^3
b) x*(0.1875) = 10.18 m
Explanation:
Note: The position of the horse is x = 2m. There is a typing error in the question. Otherwise, The solution to cubic equation holds a negative value of time t.
Given:
- v(t) = 10 + 2*t^2 (radar gun)
- x*(t) = 10 + 5t^2 + 3t^3 (our coordinate)
Find:
-The position x of horse as a function of time t in radar system.
-The position of the horse at x = 2m in our coordinate system
Solution:
- The position of horse according to radar gun:
v(t) = dx / dt = 10 + 2*t^2
- Separate variables:
dx = (10 + 2*t^2).dt
- Integrate over interval x = 0 @ t= 0
x(t) = 10t + (2/3)*t^3
- time @ x = 2 :
2 = 10t + (2/3)*t^3
0 = 10t + (2/3)*t^3 + 2
- solve for t:
t = 0.1875 s
- Evaluate x* at t = 0.1875 s
x*(0.1875) = 10 + 5(0.1875)^2 + 3(0.1875)^3
x*(0.1875) = 10.18 m
Answer:
Weight of the woman in Newton
Mass of the woman in slug
Mass of the woman in kg
My weight in Newton
Explanation:
From the question we are told that
The weight of the woman in pounds is 
Converting to Newton
1 N = 0.22472 lb
x N = 157
=> 
=>
Obtaining the mass in slug
Here 
So
Obtaining the mass in kilogram
Here 
So
Generally weight is mathematically represented as
Given that my mass is 80 kg then my weight is
Answer:
18 degrees celcius = 64.4
Explanation:
Fahrenheit
Answer:
1.52905 seconds
4.58715 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
= Coefficient of friction = 0.4
g = Acceleration due to gravity = 9.81 m/s²
a = Acceleration = 
Equation of motion
It will take 1.52905 seconds for the block to slow down
The block will travel 4.58715 m before it stops
<h2>
Answer:</h2>
Deductive reasoning
<h2>
Explanation:</h2>
The process of using pre-existing knowledge to make logical conclusions, make predictions and draw out explanations is called reasoning. Reasoning are basically of two types:
i. Deductive reasoning: This takes a general rule, idea, or theory as foundation and then proceeds from there to draw meaningful conclusions or predictions. For example;
<em> If a = 3 ----------------(i)</em>
<em> And b = 5 ----------------(ii)</em>
<em> Then 2a + 4b = 26 -------------(iii)</em>
From above, following from equations (i) and (ii), it can be concluded that (iii) should be true.
ii. Inductive reasoning: While deductive reasoning moves from a general rule to specific rule, inductive reasoning does the opposite - moves from specific to a general rule.
