Two stones are thrown vertically upward with matching initial velocities of 48ft/s at timet= 0. One stone is thrown from the edge of a bridge that is 32 ftabove the ground and the other stone is thrown from ground level. The heightof the stone thrown from the bridge aftertseconds isf(t) =−16t2+ 48t+ 32,and the height of the stone thrown from the ground aftertseconds isg(t) =−16t2+ 48t.

Step-by-step explanation:

Stone thrown from ground:

S = -16t² + 48t + 32

Velocity = V = dS/dt = -32t + 48

Acceleration = dV/dr = -32

Because Velocity is 0 at the top, we have V = 0

That is

-32t + 48 = 0

t = 48/32 = 3/2

S = -16(3/2)² + 48(3/2) + 32

= 36 +72 + 32

S = 140 ft(1)

Stone thrown above the bridge level:

S = -16t² + 48t

Velocity = V = dS/dt = -32t + 48

Acceleration = dV/dr = -32

Because Velocity is 0 at the top, we have V = 0

That is

-32t + 48 = 0

t = 48/32 = 3/2

S = -16(3/2)² + 48(3/2)

= 36 +72

S = 108ft(2)

From (1) and (2)

140 - 108 = 32ft

Which shows that the stone then from the ground levels is 32ft higher than the one thrown at the edge of the bridge.

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

so, converting firstly the mixed fractions to improper fractions and then "adding".