What is the initial velocity and the starting height in the equation h(t)=-16t2+24t+5?
v0=24
h0=5
Solve the following quadratic equation by using square roots: x2 = 4
Simplify:
sqrt(-4)
2i
What is the quadratic formula?
x = (-b +- sqrt(b^2 - 4ac)) /(2a)
Find the vertex of
f(x)=-x2+8x-15
(4,1)
At what time does a ball reach maximum height if the flight of the ball is modeled by h(t)=-16t2+24t+30 ?
t = 0.75 seconds
Solve the following quadratic equation by using square roots: x2 = 121
Find the discriminant and number and type of solutions
x^2+2x-3=0
16, two real solutions
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
x = -1 x = -5
Find the vertex of
f(x)=-3(x-2)^2-4
(2,-4)
What is the maximum height a ball will reach if the flight of the ball is modeled by h(t)=-16t2+24t+30 ?
What is 39 feet?
Solve the following quadratic equation by using square roots: 4x2 = 400
Find the discriminant and number and type of solutions.
x2 - 2x - 24 = 0
100, two real solutions
Solve the following quadratic equation by using the quadratic formula: x2 - 9x + 20 = 0
x = 5 x = 4
Find the vertex of
f(x)=5x2+4
(0,4)
When does the rocket hit the ground if the rocket is launched from 3 feet off the ground with an initial velocity of 315 ft/sec and modeled by h(t)=-16t2+315t+3
At 19.70 seconds
Solve the following quadratic equation by using square roots: x2 -9 = -8
Simplify
sqrt(-147)
7i sqrt(3)
Solve the following quadratic equation by using the quadratic formula:
2x2 + 11x + 4 = 0
x=(-11+- sqrt(89))/4
Find the vertex of
h(t)=-16x2 +48x+10
(1.5,46)
Write a projectile motion equation for a soccer ball that is punted 2 feet off the ground with an initial velocity of 12 ft/sec.
What is h(t)=-16t2+12t +2?
Solve the following quadratic equation by using square roots: 5(x - 4)2 + 3 = 128
x = 9 x = -1
Find the discriminant and number and type of solutions
-3x^2=11x+14
-47, Two imaginary solutions
Solve the following quadratic equation by using the quadratic formula: -4x2 = 17x + 15
x = -3 x = -5/4
Find the vertex of
h(t)=-4.9t2+12.8t+6
(1.31,14.36)