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If a ball is dropped from 6m above the ground, how long does it take to hit the floor and what is its speed at impact (assuming air resistance is negligible)?
Distance, s = 6m ; initial speed, u = 0 m/s ; final speed, v = v m/s ; acceleration, a = 9.8 m/s (g) ; time, t = t sTime:s = ut + 0.5at2 , 6 = 0 + (0.5 x 9.8)t2 , 6 = 4.9t2
The Curve C has equation y = 3x^4 - 8x^3 -3. Find the first and second derivative w.r.t x and verify that y has a stationary point when x = 2. Determine the nature of this stationary point, giving a reason for your answer.
The first derivative is otherwise denoted by dy/dx.dy/dx = 12x^3 -24x^2.The second derivative is denoted by d2y/dx2, otherwise known as the first derivative of the function dy/dx.d
