Joseph jumped off of a cliff into the ocean in Miami while vacationing with some friends. His height as a function of time is given by () = −^ + + , where is the time in seconds and is the height in feet. Ow long did it take for Joseph to reach his maximum height? What was the highest point that Joseph reached? Joseph hit the water after how many seconds?

Step-by-step explanation:

I think the missing equation in your question is: h(t) = -16 + 16t + 480

Here is my

As we know that the vertex form of a parabola, y=a + k where(h,k) is the vertex

h(t) = -16 + 16t + 480

= -16 ( + 480  

= -16 + 484

So the vertex is ( , 484)

a. It take for Joseph second to reach his maximum height

b. The highest point that Joseph reached is the vertex of the function, it is 484 ft

c. Joseph hit the water after how many seconds?

<=> h(t) = 0

<=>  -16 + 16t + 480  = 0

<=> t = second = 6 sec

Hope it will find you well

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

answer: asdfghjkl,mnbv

step-by-step explanation: