A commercial jet liner hits an air pocket and drops 259 feet. After climbing 123 ​feet, it drops another 183 feet. What is its overall vertical​ change?

Respuesta :

Answer:

319 feet

Step-by-step explanation:

Let x be the initial height of the jet liner.

Take a "drop" as a negative value and a "climb" as a positive value.

If the jet liner drops 259 feet:  

⇒ x - 259

If it then climbs 123 feet:

⇒ x - 259 + 123

If it then drops another 183 feet:  

⇒ x - 259 + 123 - 183

Simplify:

⇒ x - 259 + 123 - 183

⇒ x - 136 - 183

⇒ x - 319

Therefore, the overall vertical change is 319 feet.

Remember

  • climb=+ve
  • drop=-ve

We need displacement

Find the distances

  • -259ft
  • +123ft
  • -183ft

Displacement

  • -259+123+183
  • -319ft

Overall change is 319ft