It represents the derivative function, and it tells the tangent line of a
given point x.
In mathematics, the velocity is the first derivative of displacement
function. The second derivative of displacement is acceleration.
Let x meters be the height of a popup fly after t seconds, and an
equationx=− 5 t^2 + 30 t is valid. This is a quadratic equation for t, and
its leading coefficient is negative, making a parabola open downwards.
Image 4-6: Distance-Time Graph VVelocity from this equation is v=ddt(− 5 t^2 + 30 t)=− 10 t+ 30 (m/s)
Acceleration from this equation is a= d (− t 0 t) − 0 (m/s)
2
dt^2
52 + 3 = 1 2
The moment where the ball touches the ground is whenx=^0. ^ Solving