The function s (t) = vt + h - 0.5at^2 represents the height of an object, s, from the ground after the time, t, when the object is thrown with an initial velocity of v at an initial height of h and where a is the acceleration due to gravity (32 feet per second squared).

a baseball player hits a baseball 4 feet above the ground with an initial velocity of 80 feet per second. about how long will it take the baseball to hit the ground?

a. 2 seconds

b. 3 seconds

c. 4 seconds

d. 5 seconds

Question

Mathematics

Abram Coffey

5 September, 20:06

The function s (t) = vt + h - 0.5at^2 represents the height of an object, s, from the ground after the time, t, when the object is thrown with an initial velocity of v at an initial height of h and where a is the acceleration due to gravity (32 feet per second squared).

a baseball player hits a baseball 4 feet above the ground with an initial velocity of 80 feet per second. about how long will it take the baseball to hit the ground?

a. 2 seconds

b. 3 seconds

c. 4 seconds

d. 5 seconds

+1

Answers (1)

Know the Answer?

Paige Hurst · Answer 1

To answer this item, we just have to substitute the given to the equation, where s is equal to 4 and v is equal to 80 ft/s.

4 = (80) t - 0.5 (32 ft/s²) (t²)

The value of t from the equation generated above is equal to 4.94 s. Thus, the answer is approximately 5, letter D.