The height s, in feet of a ball thrown upward at an initial speed of 64ft/s from a cliff 50 ft above an ocean beach is given by the function: s(t) = -8t2 + 64t + 50 where t is the time in seconds after the ball is released? Find the maximum height above the beach that the ball will attain.

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t…

A: The velocity is the rate of change of the distance with respect to the time. Hence, it can be…

Q: A ball is drawn randomly from a jar that contains 5 red balls, 7 white balls, and 4 yellow balls.…

A: From the given information, there are 5 red balls, 7 red balls and 4 yellow balls. The total number…

Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: The number of people in a school that have caught a cold can be modeled by C(d) = 3(4) where C(d) is…

A: c(d) = 3(4)d after 5 day so d =5 c(5) = 3(4)5 c(5) =3(1024) c(5) = 3072   time to catch 192 people…

Q: The velocity of a rocket, in feet per second, of a rocket t seconds into vertical flight is given by…

A: Write the relation between velocity and altitude: vt=dhtdt

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A:

Q: For each of the following sequences, if the divergence test applies, either state that lim an does…

A:

Q: NASA launches a rocket at t =0 seconds. Its height, in meters above sea-level, as a function of time…

A: Given that, the function is ht=-4.9t2+325t+346. it is known that, the height of the rocket will be…