Fill in the Blanks A golf ball is projected upward from ground level at an initial...

Question

Question

Fill in the Blanks A golf ball is projected upward from ground level at an initial velocity of 112 ft/sec. The height of a pr

math algebra

Answer 1

Answer #1

S(t) = -16t ² + v₀ t + s₀

As the ball is projected from ground level so initial height = 0 = S₀

Height of ball after 2 sec

S(2) = -16(2)² + 112(2) = 160 feet --- Answer

To get maximum height dS(t) / dt

= -32t + vo = 0

32t = 112 or t = 3.5 sec

At t = 3.5 sec height S(3.5) = -16(3.5)² +112(3.5)

= 196 feet ---- Answer

When ball will reach ground s =0

0 = -16t ² +112t

16 t ² = 112t

t = 0 and at t = 7 sec ---- Answer

So t = 7 sec ball will reach ground

Answer

Thank you

Add a comment

Answer 2

Similar Homework Help Questions

Tiger Woods hits a golf ball with an initial speed of 48 ft/sec. The height h...

Tiger Woods hits a golf ball with an initial speed of 48 ft/sec. The height h of the ball in feet as a function of time (in seconds) can be modeled by the function f (t) = –16t² + 480 What is the height of the ball at 1 second? Enter only the number into the box. 32 feet How many seconds will it take the golf ball to hit the ground? Enter only the number into the box. seconds
A rock is projected directly upward from ground level with an initial velocity of 90 ft...

A rock is projected directly upward from ground level with an initial velocity of 90 ft per sec. The function in height of the rock in terms of time t is f (t) = −???? + ???. Find time t at which the rock reaches its maximum height and the maximum height in feet. Round answers to two decimal places, if necessary.
A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t second...

A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t seconds after it is fired, is given by h= -16t^2+32t+3584. What is the rocket's maximum height? ___ ft How long does it take for the rocket to reach its maximum height? t= ___sec After it is fired, the rocket reaches the ground at t= ___ sec.

A projectile is launched straight up from ground level with an initial velocity of v0 per...

A projectile is launched straight up from ground level with an initial velocity of v0 per sec. Neglecting air resistance, its height in feet, s, after t seconds after launch is given by the equation s = –16t2 + v0t. At what time(s) will the projectile reach a height of 112 feet when v0 = 96 feet/sec? After how many seconds will it return to the ground when v0 = 96 feet/sec?
A projectile is fired upward from the ground with an initial velocity of 760 feet per...

A projectile is fired upward from the ground with an initial velocity of 760 feet per second. Assume that the height of the projectile at any time t can be described by the polynomial function PO = - 161? + 7601. Answer parts (a) through (1) a. What is the height of the projectile at t= 3 seconds? b. What is the height of the projectile at t= 6 seconds? ft c. What is the height of the projectile att...
if an object is thrown vertically upward with an initial velocity of v, from an original...

if an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h = -16t^2 + vt + s If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by h16t2 +vt+s (where h and s are in ft, t is in seconds and v...

A projectile is launched from ground level with an initial velocity of v 0 feet per...

A projectile is launched from ground level with an initial velocity of v 0 feet per second. Neglecting air? resistance, its height in feet t seconds after launch is given by s equals negative 16 t squared plus v 0 t. Find the? time(s) that the projectile will? (a) reach a height of 80 ft and? (b) return to the ground when v 0 is 32 feet per second. ?(a) Find the? time(s) that the projectile will reach a height...
A ball is thrown vertically upward with an initial velocity of 96 feet per second

A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s(t)=96t-16t^2a.) at what time will the ball strike the groundb.) for what time t is the ball more than 128 feet above the ground?c.) when will the ball reach its highest peak? how high is it above the ground?
If an object is projected upward with an initial velocity of 48 ft pe second from a height h of 160 ft, then its height t second after it is projected is defined by the equation h= -16t 2 + 48t + 160

If an object is projected upward with an initial velocity of 48 ft pe second from a height h of 160 ft, then its height t second after it is projected is defined by the equation h= -16t 2 + 48t + 160. How many seconds after it is projected will it hit the ground?

If a ball is thrown upward at 96 feet per second from a height of 12...

If a ball is thrown upward at 96 feet per second from a height of 12 feet, the height of the ball can be modeled by S- 12+96t seconds after the ball is thrown. How long after the ball is thrown is the height 152 feet? 16t feet, where t is the number of t takes seconds for the ball to reach th (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) e height...