SOLUTION: A projectile is launched from the ground with an initial velocity of V0 feet per second. Neglecting air resistance, its height in feet per seconds after launch is given by s = -16t
Algebra.Com
Question 889062: A projectile is launched from the ground with an initial velocity of V0 feet per second. Neglecting air resistance, its height in feet per seconds after launch is given by s = -16t^2 +V0t. Find the time(s) that the projectile will
(a) reach a height of 240ft and
(b) return to the ground when V0= 128 feet per second.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A projectile is launched from the ground with an initial velocity of V0 feet per second. Neglecting air resistance, its height in feet per seconds after launch is given by s = -16t^2 +V0t. Find the time(s) that the projectile will
(a) reach a height of 240ft and
(b) return to the ground when V0= 128 feet per second.
***
set height,s=240
(a) 240=-16t^2+128t
-16t^2+128t-240=0
-t^2+8t-15=0
t^2-8t+15=0
(t-5)(t-3)=0
t=5
or
t=3
projectile will reach a height of 240ft after 3 sec on the way up and after 5 sec on the way down
..
set height,s=0
(b) -16t^2+128t=0
-t^2+8t=0
-t(t-8)=0
t=0 (reject)
or
t=8
projectile will return to the ground after 8 sec
RELATED QUESTIONS
A projectile is launched from ground level with an initial velocity of v0 feet per... (answered by Alan3354)
A projectile is launched from the ground with an initial velocity of V0 feet per second.... (answered by solver91311)
A projectile is launched from ground level with an initial velocity of V0 feet per... (answered by Alan3354)
A projectile is launched from ground level with an initial velocity of v0 feet per... (answered by Boreal,ikleyn)
PROJECTILE IS LAUNCHED FROM GROUND LEVEL WITH AN INITIAL VELOCITY OF v0 FEET PER SECOND.... (answered by Alan3354)
A projectile is launched from ground level with an initial velocity of v0 feet per... (answered by math_tutor2020)
PROBLEM: HEIGHT OF A PRJECTILE:
A PROJECTILE IS LAUNCHED FROM GROUND LEVEL WITH AN... (answered by stanbon,vleith)
If a projectile is shot vertically into the air (from the ground) with an initial... (answered by Boreal)
if a projectile is shot vertically upward from the ground with an initial velocity of 150 (answered by Alan3354)