The time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.
<h3>
Time of motion of the particle</h3>
The time taken for the particle to travel more than 8 meters from the point of projection is calculated as follows;
s = v₀t + ¹/₂at²
8 = 12t + (0.5 x 5)t²
8 = 12t + 2.5t²
2.5t² + 12t - 8 = 0
solve the equation using formula method
t = 0.59 s
Thus, the time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.
Learn more about time of motion here: brainly.com/question/2364404
Step-by-step explanation:
a. (0.60x + 0.70y)- 50 = 10
<=> 0.60x + 0.70y = 60
b. (x+y) = 5(x-y)
x+y=5x-5y
<=> 4x - 6y = 0
The answer is 7x-3 if you add like terms which are 4x, 2x, and x then take 2, 3, -2 and subtract from each other
Answer:

Step-by-step explanation:
Given that:

for 
That means, angle
is in the 3rd quadrant.
To find:
Value of cot(t)
Solution:
First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.
In 3rd quadrant, tangent and cotangent are positive.
All other trigonometric ratios are negative.
Let us have a look at the following identity:

here, 
So, 

But, angle
is in 3rd quadrant, so value of

Step-by-step explanation:
Given
The function is 
for
, we will check the values of
and 
Take 3 and 4

Similarly,

Thus, 
Also,
is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.