If a ball is thrown vertically upward from the roof of a 48 foot tall building with a velocity of 48 ft/sec,its height in feet after t seconds is s(t) = 48 + 48 t - 16 t^2.What is the maximum height the ball reaches?What is the velocity of the ball w_百度作业帮
If a ball is thrown vertically upward from the roof of a 48 foot tall building with a velocity of 48 ft/sec,its height in feet after t seconds is s(t) = 48 + 48 t - 16 t^2.What is the maximum height the ball reaches?What is the velocity of the ball w
If a ball is thrown vertically upward from the roof of a 48 foot tall building with a velocity of 48 ft/sec,its height in feet after t seconds is s(t) = 48 + 48 t - 16 t^2.What is the maximum height the ball reaches?What is the velocity of the ball when it hits the ground (height 0)?第一个问题答案是84,但第二个的没有人对呢...
s(t) = -(t-3/2)^2+108所以当t=3/2的时候s(t)达到最高值108速度也就是距离对时间的变化率,可以通过求导来做s(t)'=-32t+48当s(t)=0的时候,通过第一个等式可以求得t=6√3+3/2代入s(t)' 得最终速度是 -192√3 （负号代表方向）
令s'(t)=48-32t=0，得t=1.5sec即t=1.5sec时，the maximum height the ball reachesis s(1.5)=84ft然后球自由落体，H=(1/2)*g*t^2,v=g*t,重力加速度g=9.8m/s^2可求v—the velocity of the ball when it hits the ground (height 0)。
S'(t)=48-32t 令S'(t)=0 48-32t=0 t=1.5 Smax=48+48*1.5-16*1.5^2=84ft 令S(t)=0 48+48t-16t^2=0 t=(3+√21)/2 V=S'(t)|t=(3+√21)/2=48-16(3+√21)= -16√21ft/sec结果为负表示方向与初速度相反ISSUU - TygerBurger Brackenfell Edition 16.11.11.pdf by Tygerburger Newspaper
TygerBurger Brackenfell Edition 16.11.11.pdf
TygerBurger Brackenfell Edition 16.11.11.pdf
TygerBurger Brackenfell Edition 16.11.11.pdf微积分题请解答（详解）A particle moves along the y-axis so that its position ar time 0&=t&=20 is given by y(t)=5t-t^2/3.At what time does the particle change direcition?(seconds)if f(x)=sec(3x),then f ' (3派/4)=? (派:3.14,但_百度作业帮
微积分题请解答（详解）A particle moves along the y-axis so that its position ar time 0&=t&=20 is given by y(t)=5t-t^2/3.At what time does the particle change direcition?(seconds)if f(x)=sec(3x),then f ' (3派/4)=? (派:3.14,但
微积分题请解答（详解）A particle moves along the y-axis so that its position ar time 0&=t&=20 is given by y(t)=5t-t^2/3.At what time does the particle change direcition?(seconds)if f(x)=sec(3x),then f ' (3派/4)=?&(派:3.14,但不带入3.14)if a curve is defined by f(x)=1-xcos x,an equation of the normal to the curve at (派/w,1) is y=?(A.&&派x/2+派/2 B.派x/2+(派/2)^2 C.&派x/2-2 D.-派x/2+2 E.-派x/2-2)If a function is given by f(x)=(x+3)/(x^2-1),what is the instantaneous rate of change of the function at x+3?(A.7/16 B.-7/16 C.11/16 D.-11/16 E.1/6)
f(x)=sec(3x),f'(x)=3sec^2 (3x)tan(3x)}