Answer:
$75
Step-by-step explanation:
55/11=5
15*5=75
<span> You have :
----------------
v0 = 35 m/s
B = angle of elevation = 30 deg
a suby = - g
v suby0 = ( v0 ) ( sin B )
v suby0 = ( 35 m/s ) ( sin 30 ) = 17.5 m/s
At maximum height :
------------------------------
v suby = vy* = 0.0
t = t*
y = ymax = y*
Basic kinematics gives :
-------------------------------------
a suby = dv suby / dt = -g ------> dt = dv suby /a suby
v suby = dy/dt ------> dt = dy / vsuby
dt = dv suby / a suby = dy / v suby
( v suby ) ( d v suby) = ( a suby ) dy = ( -g ) dy
Now integrate and get :
-----------------------------------
( v suby* )^2 - ( v suby0)^2 ( 1/2 ) = ( -g ) ( ymax )
ymax = [ ( v suby0 )^2 - ( v suby* )^2 ] / [ ( 2 ) ( g ) ]
ymax = ( 17.5 m/s )^2 - ( 0.0 m/s )^2 ] / [ ( 2 ) ( 9.807 m/s^2 ) ]
ymax = 15.6 m <------------------
Check the result:
--------------------------
t* = v suby0 / g = ( 17.5 m/s ) / ( 9.807 m/s^2 ) = 1.784 s
y* - y0 = ( v suby0 ) ( t* ) - ( g/2 ) ( t* )^2
y* = ( 17.5 m/s ) ( 1.784 s ) - ( 9.807 m/s^2 / 2 ) ( 1.784 s )^2
y* = ymax = 31.23 m - 15.61 m = 15.6 m
The ymax values agree.</span>
Hmm. Certainly a preset formula that takes an input, performs a calculation, and produces an output is a function.
But other things might be functions as well. Being a function doesn't require an algorithm or preset formula, just some way of describing a single output for every input in the domain. A table would be another way to specify a function. Sometimes we know something's a function but we don't know how to calculate it.
So I'm not sure really what they're after in this question, but I'm going to say FALSE.
