I'm studying Calculus and I think these formulas would be practical for everyday life. Can anyone give me Calculus formula and an example so I can fully understand?
2007-07-07 07:58:09 · 3 answers · asked by Harry K 1 in Science & Mathematics ➔ Mathematics
a = dv/dt
v = dx/dt
where a, v, x are functions of t
2007-07-07 08:07:56 · answer #1 · answered by none2perdy 4 · 1⤊ 0⤋
Dropped from rest means its initial speed is zero. Since earth pulls it its speed increases by 9.8m/s in every second. For brevity take this figure as 10 m/s At the end of 6 seconds its speed increases from zero to 6x 10 = 60 m/s. At the instant of 6 second its speed is 65m/s. Or its instantaneous speed is 60m/s. This can be done using the formula for final speed v from v = gt. ======================================... Its speed has increased from zero to 60m/s in 6 seconds. The average speed 'w' is [Final speed + initial speed] /2 = [60 + 0] / 2 = 30 m/s ======================================... The distance is calculated by average speed x time = w t. = 30 x 6 = 180 m. ======================================...
2016-05-20 23:13:05 · answer #2 · answered by ? 3 · 0⤊ 0⤋
Let s(t) be the displacement function of an object. Then the instantaneous velocity is s'(t), the speed is |s'(t)|, and the acceleration is s''(t). All the derivatives are respect to time t.
2007-07-07 08:07:07 · answer #3 · answered by sahsjing 7 · 1⤊ 0⤋