A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it takes to hit the ground. Round your answer to the nearest tenth. Remember to include units in your answer.

1.7 seconds

Step-by-step explanation:

we have

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

---> because the object is dropped

substitute

Remember that

When the chestnut hit the ground the value of H is equal to zero

so

For H=0

solve for t

therefore

The solution is t=1.7 sec

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17