Answer:
a) 
, b) 
, c) 
, d) 
, e) 
, f) 
Step-by-step explanation:
The velocity function can be derived by the differentiating the height function:
Velocities after 2 and 4 seconds are, respectively:
a)
b)
The maximum height is reached when velocity is zero. Then:
c)
The maximum height is:
d)
The time required to hit the ground is:
Roots of the second-order polynomial are:
Only the first root is physically reasonable.
e)
The velocity when the projectile hits the ground is:
f)
I hope this helps you
x^2=50
x= 5 square root of 2
One number is 15 and the other is 16. You get this answer by first finding a factor of 3(15) that when it's subtracted from 31 gives you a factor of 8(16). Then you divide in this case 15 by 3 and get 5 and 16 by 8 and get 2. The reason you divided the numbers is because now you have 5 which is 1/3 of 15 and 2 which is 1/8 of 16. Now that you have your numbers that equal your fractions multiply 5 which is your 1/3 by the 2 from your 2/3 to get 10 which is 2/3 of 15 and 2 which is 1/8 by the 5 from you 5/8 to get 10 which is 5/8 of 16
C=90°, A=75°, b=AC=19, x=AB
Without a figure, we see AC is adjacent to angle A, so
cos A = AC/AB = b/x
x = b/cos A = 10 / cos 75° ≈ 38.637
Answer: 38.6
