This is a basic quadratic function. The easiest way to go about this is by using the quadratic formula.
a=5 ; b=20 ; c=20
-b + or - root (b2-4ac) all over 2a.
We have to trust the equation you give us, telling us that the acceleration of gravity is 9.8,the tossing speed is 20 straight up, and the stone leaves your hand from 10 aboveground.If all of that is true, then H = -4.9 t2 + 20t + 10, and when the stone hits the ground,-4.9 t2 + 20t + 10 = 0Multiply both sides of the equation by -1 :4.9 t2 - 20t - 10 = 0We're not going to be able to factor that ugly thing,so we have to use the quadratic equation:t = [ 20 +/- sqrt(400 + 196) ] / 9.8 = ( 20 +/- 24.413) / 9.8I get 4.532 seconds (rounded)
y(t) = 3.5 - 3.5*e1-20t Then dy/dt = -3.5*e1-20t*(-20) = 70*e1-20t
20 gallons is approximately 75.702 litres.
a2+9a+20 = (a+4)(a+5) when factored
(x + 10)(x + 2)
5(4x + 9)
(3x + 5)(3x^2 + 4)
5(n2 + 2n + 4)
(x+6)(X+20)
2000 pounds = 1 ton 2000x20 pounds = 20 tons 40,000 pounds = 20 tons
x2 + x - 20 = (x + 5)(x - 4).
(y + 5)(y - 4)