SOLUTION: A ball is shot into the air. Its height h, in metres, after t seconds is modelled by h = - 4.9t2 + 30t + 1.6. (a) How long will it take the ball to reach a height of 35

Algebra.Com
Question 1160000: A ball is shot into the air. Its height h, in metres, after t seconds is modelled by
h = - 4.9t2 + 30t + 1.6.
(a) How long will it take the ball to reach a height of 35 m (Answer to the nearest tenth of a second)?
(b) When does the ball land on the ground (Answer to the nearest tenth of a second)?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

(a) How long will it take the ball to reach a height of 35 m (Answer to the nearest tenth of a second)? 


    To answer this question, solve this quadratic equation

        - 4.9t2 + 30t + 1.6 = 35.




(b) When does the ball land on the ground (Answer to the nearest tenth of a second)?


    To answer this question, solve this quadratic equation

        - 4.9t2 + 30t + 1.6 = 0.


----------------

To learn more about such problems, look into the lessons
    - Problem on a projectile moving vertically up and down
    - Problem on an arrow shot vertically upward
    - Problem on a ball thrown vertically up from the top of a tower
    - Problem on a toy rocket launched vertically up from a tall platform

Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.
Read them attentively and learn how to solve this type of problems once and for all.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Projectiles launched/thrown and moving vertically up and dawn".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



RELATED QUESTIONS

A ball is shot into the air. It's height , h in metres after t seconds is modeled by... (answered by Earlsdon)
A baseball is hit to centre field. The ball’s height h, in metres, after t seconds can be (answered by Fombitz)
A toy glider is tossed into the air. Its height, h, in metres, after t seconds is... (answered by nerdybill)
a model rocket is shot into the air and its path is apporoximated by h=-5t^2 + 30t, where (answered by nerdybill)
A football is kicked into the air. The height of the football is modelled by... (answered by ikleyn)
A model rocket is launched from the roof of a building. Its flight path through the air... (answered by ikleyn)
A model rocket is shot into the air and its path is approximated by h = -5t^2 + 30t where (answered by Earlsdon)
The height, h meters, of an infeild fly ball t secnds after being hit is given by the... (answered by Boreal)
7. Graph the equation in Desmos or Geogebra. Then answer the following questions. A... (answered by ikleyn)