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
Astrophysics is the answer
Answer:
Potential energy
Explanation:
Potential energy is the energy stored within an object, due to the object's position, arrangement or state. Potential energy is one of the two main forms of energy, along with kinetic energy.
Answer:
The rock's speed after 5 seconds is 98 m/s.
Explanation:
A rock is dropped off a cliff.
It had an initial velocity of 0 m/s. And now it is moving downwards under the influence of gravitational force with the gravitational acceleration of 9.8 m/s².
Speed after 5 seconds = V
We know that acceleration = average speed/time
In our case,
g = ((0+V)/2)/5
9.8*5 = V/2
=> V = 2*9.8*5
V = 98 m/s
Hi, I crunched some numbers for you and got the following results:
Starting from initial velocity of zero (rest) the sled reached a top speed of 257.3 m/s^2.
Upon slowing down or braking, the sled slowed down very hard to about 76.35 m/s^2.
Acceleration and Gravitational Acceleration were the main interpretations obviously in this problem.
Also, if my math was correct, the speed of the sled slowing down was around 7.7 G's (acceleration due to gravity)! That is about on par with the acceleration of a F-16 Fighter Jet pulling out of a dive!--> (79 m/s^2) The human test subject probably came close to blacking out I would guess as well or very close to!
