Help!!!!!! Describe the process you can use to solve a system of equations using a matrix.
1 answer:
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Answer: 9.44 seconds
Step-by-step explanation:
A movement equation in the vertical axis is usually written as follows:
p(t) = (-g/2)*t^2 + v0*t + p0
where:
g is the gravitational acceleration, in this case is 32 ft/s^2, then -g/2 = -16ft/s^2
v0 is the initial velocity, in this case, 24 ft/s
p0 is the initial height, in this case, 1200ft
Then, when p(t) = 0ft will mean that the pebble will hit the ground, then we need to calculate:
p(t) = -16t^2+24t+1200 = 0
and find the value of t, this is a quadratic equation, then we can use the Bhaskara equation to find the two solutions, these are:
Then the two solutions are:
t = (-24 + 278.2)/-32 = -7.94 seconds (we can discard this one, because the negative time is not really defined)
t = (-24 - 278.2)/-32 = 9.44 seconds
Then the pebble needs 9.44 seconds to hit the ground
The easiest thing to do to solve all of these is to use the quadratic equation.
The first number (the one attached to x^2) is equal to a. The second number (the one attached to x) is b. The final number (the one with nothing attached) is c.
The first number (the one attached to x^2) is equal to a. The second number (the one attached to x) is b. The final number (the one with nothing attached) is c.