SOLUTION: The formula h=50t-5t^2 can be used to find the height in meters of a object shot upward at an initial velocity of 50 meters per second after t seconds. When will the height be 100

Question 4263: The formula h=50t-5t^2 can be used to find the height in meters of a object shot upward at an initial velocity of 50 meters per second after t seconds. When will the height be 100 meters (on its way down) from when it was shot?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Given the formula , the question is when will h=100 meters.

Since this is a quadratic equation, you must set it equal to zero by moving everything either to the left side or the right side. My preference, in order to eliminate the negative coefficient of is to move everything to the left side. In other words, add and to each side.

Writing this with the highest powers of x first, it gives you

Divide both sides of the equation by 5:

Solve by completing the square or quadratic formula. Completing the square is easier in this case.

Take half of the -10 (which is -5) and square (which is 25), so you must add 25 to each side of the equation.

Take the square root of each side of the equation:

Add +5 to each side of the equation:

Of course the smaller of these values is the time to reach 100 meters going up, and the larger of these values is the time required to reach 100 meters coming back down. is the time required to get UP to 100 meters, and (which is about 7.2 seconds) is the time required to reach 100 meters on the way down.

RELATED QUESTIONS
The formula h=50t-5t(squared)can be used to find the height in meters of an object shot... (answered by Earlsdon)

I do not understand the process to solve this problem: A model rocket is launched with (answered by nerdybill,Alan3354)

The formula h=-16t^2+vt gives the height h in meters of an object after t second, when it (answered by ankor@dixie-net.com)

A model rocket is launched with an initial upward velocity of 50 m/s. The rockets height... (answered by ikleyn)

A model rocket is launched with an initial an initial upward velocity of 50 m/s. The... (answered by Alan3354)

The formula h=-16t^2+vt gives the height h in feet of an object after t seconds when it... (answered by ankor@dixie-net.com)

An object is propelled upward from 12 meters above ground with an initial velocity of 120 (answered by ikleyn,Alan3354)

An object is shot upward from a height of 80 feet with an initial velocity of 64 feet per (answered by ankor@dixie-net.com)

An object is shot upward from a height of 96 feet with an initial velocity of 48 feet per (answered by Alan3354)