To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
Y = kx
4.8 = 4k
k = 4.8/4 = 1.2
Therefore, required equation = y = 1.2x
Answer=145
this is because supplementary means the two angles equal 180
180-35=145
The exact value for cos(pi/16) would be :
cos (pi/16) = +/- √1+cosa/2
cos (pi/4) = sqrt2/2
Hope this helps