Answer: After 5.02 seconds
Step-by-step explanation:
The correct equation in the question is h= -4.912 t²+ 24.5t + 1
Hi, when the ball hits the ground, height =0.
So, replacing in the equation:
0= -4.912 t²+ 24.5t + 1
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a (quadratic formula)
Replacing with the values given:
x =[ -24.5 ± √24.5²-4(-4.912)1] /2(-4.912)
x = [ -24.5 ± √600.25+19.648] /-9.824
x = [ -24.5 ± √619.898] /-9.824
x = [ -24.5 ± 24.90] /-9.824
Positive:
x = [ -24.5 +24.90 ] /-9.824 = -0.04 seconds
Negative:
x = [ -24.5 -24.90] /-9.824 = 5.02 seconds
Since time can't be negative, the answer is 5.02 seconds.
Feel free to ask for more if needed or if you did not understand something.