SOLUTION: A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air​ resistance, its height in feet t seconds after launch is given by s
Algebra.Com
Question 1066609: A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=−16t^2+v0t. Find the time(s) that the projectile will (a) reach a height of 96 ft and (b) return to the ground when v0 = 112 feet per second.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
s=-16t^2+112t
96=-16t^2+112t
0=-16(t^2-7t+6), moving the 96 over and dividing everything by -16
(t-6)(t-1)=0
t=1, 6 seconds on the parabola.
It hits the ground when s=0 and -16t^2+112t=0; -16t(t-7)=0; t=7 seconds. t=0, of course, because it started there.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
On objects launched upward see the lessons
- Problem on a projectile moving vertically up and down
- Problem on an arrow shot vertically upward
- Problem on a ball thrown vertically up from the top of a tower
- Problem on a toy rocket launched vertically up from a tall platform
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic
"Projectiles launched/thrown and moving vertically up and down".
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 the ground with an initial velocity of V0 feet per second.... (answered by lwsshak3)
A projectile is launched from ground level with an initial velocity of V0 feet per... (answered by Alan3354)
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)
A projectile is fired upward from the ground with an initial velocity of 295 feet per... (answered by solver91311)