Answer:
The toy reaches the ground in 10 sec
Step-by-step explanation:
When the rocket hits the ground, h becomes zero (0). Thus, our problem here is to solve the equation h(t) = −4.9t^2 + 50t + 2 = 0,
Because of the fractional coefficient -4.9, it's best to use the quadratic equation here. The coefficients of the t terms are {-4.9, 50, 2}. Thus,
the discriminant is b^2 - 4ac = 50² - 4(-4.9)(2) = 2539.2, and the square root of this is 50.39.
The quadratic formula is as follows:
-b ± √discriminant
t = -------------------------------
2a
which here is:
-50 ± 50.39
t = ------------------------ Since t represents time, only the positive result
-9.8 is relevant here; it is 10.24 sec,
which rounds off to 10 sec
The toy reaches the ground in 10 sec
