Question;
At what time (t) will the ball hit the ground?
Answer:
The answer to the question is;
The ball will hit the ground at t = 2.52 s
Step-by-step explanation:
To answer the question we note the formula for distance from the gound is given by
d = − 9.8·t² − 15·t + 100
To find out the time when the ball hits the ground we have
The ball hits the ground at d = 0, therefore we have
0 = − 9.8·t² − 15·t + 100, solving by factorization gives
(t-2.52)(t+4.05)×(-9.8) = 0
Therefore the ball hits the ground at either 2.52 s or -4.05 s (imaginary)
Which gives t = 2.52 s.