A particle moves along the x-axis with its velocity at time t given by v(t)=bt^2-ct+8, where b and c are constants and b does not equal c. For which of the following values of t is the particle at constant velocity?( ) A. t= c(2b) B. t=2bc C. t= (2b)c D. t=2b...
A particle moves along the x-axis at a velocity of v(t)= 1(√ t), for t>0. At time t=1, its position is 4.What is the position of the particle when t=9? 相关知识点: 试题来源: 解析 8 结果一 题目 A particle moves along the x-axis at a velocity of , for t>0. At...
A particle moves in a straight line with velocity function v(t)=2√t+3cms^(-1) , t≥0Find the value oflim_(h→0)(v(1+h)-v(1))/hInterpret this value. 相关知识点: 试题来源: 解析 1 cms-2 =v'(1) is the instantaneous accn. at t = 1 s ...
题目【题目】A particle moves along the x-axis so that itsvelocity at any time t≥o is given byv(t)=5t2-4t+7. T he position of the particle, (t),is 8 for t=3.Write an equation for the position, s(t), of theparticle at any time t≥0 . ...
7) A particle moves in a straight line with a constant velocity of 5ms' for 2 seconds. It then moves with a constant acceleration of -2ms2 for 8 seconds. Sketch a velocity-time graph for the interval of 10 seconds and find:a) the final velocity,b) the total distance covered by the...
【题目】A particle moves along the r-axis with velocityv(t)= e-2t metres per second.a Find the value of t for which the acceleration of the particleis -metres per second per second. Give your answerto3 significant figures. 相关知识点: ...
【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 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 travels along a straight line with a velocity of v(t)=3e^((-t/2))sin (2t) meters per second. What is the total distance, in meters, traveled by the particle during the time interval 0≤q t≤q 2 seconds? ( ) A. 0.835 B. 1.850 C. 2.055 D. 2.261 E. 7.025 相关知...
A particle moves along the x-axis so that its velocity at any time t≥q 0 is given by v(t)=3t^2-2t-1. The position x(t) is 5 for t=2. Write a polynomial expression for the position of the particle at any time t≥q 0. 相关知识点: 试题来源: 解析 x(t)=∫ v(t)=∫...