A golfball is hit from ground level with an initial vertical velocity of 64 ft/s. Use the function h(t) = −16t2 + v0t + h0, where h(t) is the height of a golfball hit with initial vertical velocity v0 from initial height h0 after t seconds in the air, to find the time at which the golfball will hit the ground. after 4 s after 5 s after 3 s after 6 s

Answers

Answer 1

Answer:

It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.

The ball hits the ground at t= 4 seconds that is it's distance from the ground is  zero meters.

Step-by-step explanation:

h(t) = −16t2 + v0t + h0

Putting the values

Initial velocity = V0 = 64m/s

time = 4, 5,3,and 6 seconds

initial height = h0 = ground level= 0 m

h(t) = −16t2 + v0t + h0

h(4) = −16(4)2 + 64(4) + 0

h(4)= 0m

h(t) = −16t2 + v0t + h0

h(5) = −16(5)2 + 64(5) + 0

h(5)= - 400 + 320= -80m

h(t) = −16t2 + v0t + h0

h(3) = −16(3)2 + 64(3) + 0

         = -144+ 192= 50m

h(t) = −16t2 + v0t + h0

h(6) = −16(6)2 + 64(6) + 0  

       = -576+ 384= -192m

It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.

The - ( negative) sign at different times shows that the ball may follow a path  lower than the ground level.

The ball hits the ground at t= 4 seconds that is it's distance from the ground is  zero meters.


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Option F. is correct.

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Step-by-step explanation:

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Answers

Answer:

C). The store across town is 8.6 miles away and takes about 24 minutes to get there.

D). Your car averages about 22 miles per gallon in the city Gas is $3.05 per gallon.

Step-by-step explanation:

The information regarding the distance of the store across town from the house, the time required to reach there, the average of the car, and the cost of gas per gallon would assist in calculating if the extra drive is worth buying chicken from the city store.

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Answer
Do I show my work?
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Step-by-step explanation

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Step-by-step explanation:

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