Answer:
The correct answer is D. 5 seconds
Step-by-step explanation:
The function is given to be : s(t) = vt + h - 0.5at²
where, s represents the height of the object from the ground after time t, v represents the initial velocity , a is the acceleration due to gravity which is to be taken 32 feet/sec²
Now, s = 4 feet
Initial velocity, v = 80 feet/second
a = 32 feet/sec²
⇒ s(t) = vt + h - 0.5at²
⇒ 4 = 80 × t - 0.5 × 32 × t²
⇒ 16t² - 80·t + 4 = 0
⇒ 4t² - 20t + 1 = 0
⇒ t = 4.95 seconds
⇒ t ≈ 5 seconds
Hence, It will take approximately 5 seconds for the baseball to hit the ground
Therefore, The correct answer is D. 5 seconds