Answer;
A)S(t)=96t-16t² +432
B)it will take 9 seconds for the ball to reach the ground.
C)864feet
Explanation:
We were given an initial height of 432 feet.
And v(t)= 96-32t
A) we are to Find s(t), the function giving the height of the ball at time t
The position, or heigth, is the integrative of the velocity. So
S(t)= ∫(96-32)dt
S(t)=96t-16t² +K
S(t)=96t-16t² +432
In which the constant of integration K is the initial height, so K= 432
b) we need to know how long will the ball take to reach the ground
This is t when S(t)= 0
S(t)=96t-16t² +432
-16t² +96t +432=0
This is quadratic equation, if you solve using factorization method we have
t= -3 or t= 9
Therefore, , t is the instant of time and it must be a positive value.
So it will take 9 seconds for the ball to reach the ground.
C)V=s/t
Velocity= distance/ time
=96=s/9sec
S=96×9
=864feet
Explanation:
μ = coefficient of friction.
F = Frictional force = 12N
R = Normal reaction = mg = Weight = 240N
m = mass
g = acceleration due to gravity ≈ 9.8ms—²
μ = F/R
<em>μ </em><em>=</em><em> </em><em>1</em><em>2</em><em>/</em><em>2</em><em>4</em><em>0</em>
<em>μ </em><em>=</em><em> </em>¹/20
μ = 0.05
Any ride that oscillates back and forth or moves only in a complete circle utilizes periodic motion.
In a solid the atoms are tightly packed together meaning that they vibrate in place slowly. In a liquid the energy gets faster and they have enough space between each other where they can move past one another. And in a gas the particles are moving very fast and they are spread out even further than a liquid.
