A particle moves along a line so that its position at any time r 2 0 is given by stt)-2+1 + 2. where is measured in meters and r is measured in seconds Find the speed of the particle at the moment when str)(0. 相关知识点: 试题来源: 解析 ∵|x|=-1|+|x|-1|=1 == ...
A particle moves on the x-axis so that its position at any time t≥q 0 is given byx(t)=2te^(-t).Find the velocity of the particle when its acceleration is 0. 相关知识点: 试题来源: 解析 -0.271 x''(t)=-2e^(-t)(2-t)=0t=2x'(2)=v(2)=2e^(-2)(1-2)= (-2)(e^...
To find when the particle is at rest, you must set thev elocity function equal to 0 and solve for t. The velocity function is the first derivative of the position function. Remember to use the product rule on the position function in order to take the derivative correctly.x(t)=te^(...
A particle starts at time t=0 and moves along the x-axis so that its position, in feet, at any time t≥q 0 is given by x(t)=t^3+3t^2-9t+5 , where t is measured in secondsMake sure to include the proper units in your answersFind the velocity of the particle at any time ...
A particle moves along the x-axis so that at any time t≥q 0, its position is given by x(t)=(sin (3t))^2 . What is the speed of the particle at t= (π )4? ( ) A. -3 B. -1 C. 1 D. 3 相关知识点: 试题来源: ...
A particle starts at time t=0 and moves along the x-axis so that its position at any time t≥q 0 is given by x(t)=(t-1)^3(2t-3).Find the velocity of the particle at any time t≥q 0. 相关知识点: 试题来源: 解析 (t-1)^2(8t-11) (split)v(t)&=x'(t) &=3(t-...
A particle moves along the y-axis so that its velocity at any time t≥q 0 is given by v(t)=tcos t. At time t=0, the position of the particle is y=3.Write an expression for the position y(t) of the particle. 相关知识点: 试题来源: 解析 y(t)=tsin t+cos t+2 y(t)=...
A particle moves along a line so that at time t, where 0≤q t≤q π its position is given by s(t)=-4cos t- (t^2)2+10. What is the velocity of the particle when its acceleration is zero? ( ) A. -5.19 B. 0.74 C. 1.32 D. 2.55 E. 8.13 相关知识点: 试题来源: 解...
A particle at P(r(t), y(t)) moves such that r(t)=2-t and y(t)=1+3t. 1≥0.t in seconds. Distance units are centimetres.How close to (0. 10) did the particle pass and at what time did this occur? 相关知识点: 试题来源: 解析 1/(18)cm when t = 2.9 sec ...
A particle at ( P) (x(t),\ y(t)) moves such that x(t)=-4+8t and y(t)=3+6t, where t≥0 is the time in seconds. The distance units are metres. Find the: (1)initial position of (2)position of after 4 seconds (3)speed of (4)velocity vector of . 相关知...