aIf a particle, moving along a circle, only has one magnitude of linear velocity for any moment, this motion is called uniform ciecular motion. 如果微粒,移动沿圈子,只有一巨大线性速度为任何片刻,这行动称一致的ciecular行动。[translate]
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 along a straight line Ox in the time interval 0≤ t≤ π ; after t sec its distance from O is x m, where x=t+sin 2t. Calculate the values of t between 0 and π when the direction of motion changes, and show that the particle always remains on the same side of...
A particle moves along a straight line such that its acceleration, in m s-2, acts towards a fixedpoint O and is proportionalto its distance xm, from O.d2xgicnas(d^2x)/(dt^2)=-kx t≥0The equation of motion is given aswhere k is a constant.Given that the acceleration is-7ms^(-...
Using x(t)=8t^( 5/2)+Ct+16 and the position of the particle at t=1 allows you to solve for C. The position at t=1 was given as 9. When you substitute t=1 and x(t)=9 into the position function, the constant C equals -15. The question is asking for v(0). Because ...
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^(...
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: 解析DSpeed is the absolute value of the velocity. Velocity is the first derivative of the position function. When taking the derivative, remember to use the chain rule. ...
【题目】A particle moves along the r-axis with velocityv(t)=e^(-2t) metres per second.At time t = 0, the particle is 2 metres to the right of theorigin. Find:I the displacement function for the particle 相关知识点: 试题来源: ...
A particle moves along the x-axis at a velocity of v(t)= 1(√ t), for t>0. At time t=1
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)=...