<span>Your equation for the height of the stone at any time is h(t) = -16t2<span> + 128t + 32 .
From your equation, we can tell that you're defining the upward direction as
positive. We can also tell that you threw the stone upward, with an initial speed
as it left your hand of 128 feet per second, about 87 miles per hour ... a mighty toss indeed, and I think there's a man from the Chicago Cubs waiting outside
who'd like to talk to you.
Anyway, When the stone splashes into the water, h(t) = 0 .
</span></span>
<span>-16t²<span> + 128t + 32 = 0</span></span>
Divide each side by -16 :
t² - 8t - 2 = 0
I don't see any easy way to factor the expression on the left,
so I have to use the quadratic formula to solve this equation.
t = 4 plus and minus √18 .
t = +8.24 seconds
t = -0.24 second
Mathematically, both numbers are valid solutions.But when you apply
the equation to a real world situation, only the positive 't' makes sense.
So <u> t = 8.24 seconds</u>.
Answer:
Option D
48 N
Explanation:
From Newton's law of motion we deduce that the magnitude of force is a product of mass and acceleration hence expressed as, F=ma where F is the magnitude of force, m is the mass of the object and a is the acceleration of the cart. Substituting 24 kg for m and 2 for acceleration then
F=24*2= 48 N
Answer:
magnification = - 30
overall magnification = -240
Explanation:
given data
Focal length of microscope objective f = 0.150 cm
Object distance from microscope objective do = 0.155 cm
magnification by eyepiece = 8 ×
to find out
What magnification is produced and overall magnification
solution
we consider here Image distance from microscope objective is = di
so that
Magnification produced by objective will be = -
so we find here di by given equation that is
..................1
di = 4.65 cm
so that magnification by object will be
magnification = -
magnification = -
magnification = - 30
and
overall magnification will be
overall magnification = magnification by objective × magnification by eyepiece ........................2
overall magnification = -30 × 8
overall magnification = -240
Answer:
non-zero
Explanation:
The tangential force acts as a circular moment on the body and increases its velocity, and also increases its kinetic energy.
In unequal circular movement work done on the object is non-zero. If the object's velocity increases in the tangential direction, the force is acting in the same direction.
Answer:
25.9 g
Explanation:
= 17.35
8.498
________+
= 25.848 g = 25.85 g = 25.9 g
*so sorry if wrong