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The Height of a Falling Object - 2

Examples

 

An object is tossed up in the air at the rate of 40 feet per second. How long will it take for the object to hit the ground?

   In the formula,

 

We want to find t when h = 0.

The object will hit the ground after 2.5 seconds.

 

A projectile is fired upward from the ground at an initial velocity of 60 feet per second. When will the projectile be 44 feet above the ground?

   In the formula,

We want to find t when h = 44.

The projectile will be 44 feet off the ground at 1 second (on the way up) and again at 2.75 seconds (on the way down).

 

Practice

 

1.     An object on the ground is thrown upward at the rate of 25 feet per second. After how much time will the object hit the ground?

2.     A projectile is fired upward from the ground at the rate of 150 feet per second. How long will it take the projectile to fall back to the ground?

3.     An object is thrown upward from the top of a 50-foot building. Its initial velocity is 20 feet per second. When will the object be 55 feet off the ground?

4.     A projectile is fired upward from the top of a 36-foot building. Its initial velocity is 80 feet per second. When will it be 90 feet above the ground?

 

Solutions

 

1.     In the formula,

We want to find t when h = 0.

The object will hit the ground after 1.5625 seconds.

2.     In the formula

We want to find t when h = 0.

The object will fall back to the ground after 9.375 seconds.

3.     In the formula

We want to find t when h = 55.

The object will reach a height of 55 feet at about 0.35 seconds (on its way up) and again at about 0.90 seconds (on its way down).

4.     In the formula

We want to find t when h = 90.

The object will reach a height of 90 feet after about 0.80 seconds (on its way up) and again at about 4.20 seconds (on its way down).

 

 

“Sumber Informasi”

Labels: Mathematician

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