solve the following by a quadratic equation and then solving it.

Question

a rocket is projected vertically upwards from ground level, its height "h" meters after "t" seconds is given by the formula

h=35t-5t^2

how long does it take to reach 50 meters?

you should have two answers, explain the meaning of the two answers.

thanks

Answer 1

50 = 35 t - 5 t^2

5 t^2 - 35 t + 50 = 0

t^2 - 7 t + 10 = 0

(t-5)(t-2) = 0

2 on the way up and 5 on the way down