147k views
2 votes
Write and solve a quadratic equation for the situation below. Choose the answer that has both an equation that correctly models the situation as well as the correct solution for the situation.

Suppose a model rocket is launched from a platform 2 ft above the ground with an initial upward velocity of 150 ft/s. How long will it take the rocket to hit the ground?

a)0= −16t^2+150t+2; t ≈ 9.4 seconds and t ≈-0.01 seconds

b)0= −16t^2+150t+2; t ≈ 9.4 seconds

c)2= −16t^2+150y+2; t ≈ 9.4 seconds

d)None of the choices are correct.

User Ivona
by
8.8k points

1 Answer

3 votes
h(t)=gt^2/2+v0t+h0, we let g≈-32, v0=150, h0=2 so

h(t)=-16t^2+150t+2, h=0 when

16t^2-150t-2=0

t=(150±√22628)/32, since t>0

t≈9.39 seconds (to nearest hundredth)
User Serx
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories