Question

1. A bullet is shot upwards with an initial velocity of 1000 ft/sec from a point 20 ft above groand its height above the ground at time t is given by h(t)=-16t^2 + 1000t + 20. How high will the bullet go and how long will it take the bullet to reach the highest point?
2. A transit authority for a major metropolitan area has determined an approximate demand function which express daily ridership s a function of the fare charged (p). the demand function is D(p)=q=15000-120p. determine how many riders per day are expected under the fare that maximizes the revenue.

Answer 1

you are looking for the vertex of
h = -16t^2 + 1000t + 20

the t of the vertex is -1000/-32 = 31.25 seconds
for that value of t,
h = 15645 ft

Answer 2

thanks whats the second quetion