For this case we have the following expression:
Adding 3.1 to both sides of the inequality:
Dividing between -1.5 on both sides of the inequality, keeping in mind that the sign changes direction:
Answer:
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.
Answer:
Connotation
Step-by-step explanation:
There are 3 connotations i know of. I'm not sure if there's more but
-Positive (+)
-Negative (-)
- Neutral
Based on what words the writer choosing it gives out one of those connotations. Hope this helps!