Posted by Helen on Saturday, October 27, 2012 at 4:40pm.
Lets approximate this x versus time curve with a parabola between t = 2 and t = 4
x = a t^2 + b t + c
32 = 4 a + 2 b + c
70 = 9 a + 3 b + c
119 = 16 a + 4 b + c
solve for a, b and c
then find x at t = 3.3
subtract x at 2 which is 32
divide by 1.3
that is an approximation for average speed between t = 2 and t = 3.3
for speed at t = 2
dx/dt = 2 a t + b
or just approximate slope at two by
(x at 3 - x at 1)/2 seconds
= (70-10)/2 = 30 ft/s
calculus - If a ball is thrown straight up into the air with an initial velocity...
Math - If a ball is throw into the air with a velocity of 40ft/s its height in ...
Calculus - A particle moves along a line so that its posistion at any t is ...
math - If a ball is thrown straight up into the air with an initial velocity of ...
Math - If a ball is thrown straight up into the air with an initial velocity of ...
math - A person standing on the roof of a building throws a ball directly upward...
Calculus - The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s...
calculus - the height in feet of a rocket from ground level is given by the ...
College Math II - If a ball is tossed into the air from a height of 6 feet with ...
Calculus - If a ball is thrown in the air with a velocity 44 ft/s, its height in...
For Further Reading