The standard kinematics equation is for an object projected vertically is:
H(t)=H0+v0(t)+(1/2)at^2
H0=height at time 0
v0(t)=vertical velocity at time 0
a=acceleration [equals -g for gravity]
H(t) height of projectile at time t.
We're given
H0=2.5'
v0=45 '/s
a=-32.2 '/s^2
so the kinematics equation is
H(t)=2.5+45(t)+(1/2)(-32.2)t^2= 2.5+45t-16.1t^2
Solve for H(t)=5.5 using the quadratic formula:
H(t)=5.5= 2.5+45t-16.1t^2
t=0.0683 s [ on its way up ], or
t=2.727 s [caught on its way down]
Therefore the football was in the air for 2.727 seconds.
Step-by-step explanation:
Given
g(x) = - 2x² + 3x
g(3) = - 2 * 3² + 3 *3
= -2 * 9 + 9
= -18 + 9
= -9
Answer:
17
(
2
x
+
1
)
Step-by-step explanation:
Factor the polynomial.
Answer:
No.
Step-by-step explanation:
8+4, the sides is not greater than 14, so no.
The answer is 666 because when you add them together it comes up as 666