A particle P moves along the x-axis in the direction of x increasing. At time r seconds, the velocityof Pis vms-! and its acceleration is 20re-'ms-2. When t= 0 the velocity of P is 8ms-1. Find:v in terms of t 相关知识点: 试题来源: 解析 v=18-10e^(-t^2) 反馈 收...
Speed 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. x(t)=(sin (3t))^2 v(t)=6(sin (3t))(cos (3t)) Plug in t= (π )4. v( (π )4)=6(sin (3π )4)(cos (3...
【题目】A particle moves along the x-axis in such a way that its acceleration at time t for t≥o is given by a(t)=4cos(2t) . At time t=0, the velocity ofthe particle is v(0)=1 and its position is (0)=0Write an equation for the velocity ot) of the particle. 相关知识点...
Because the acceleration function is given, you must first take the antiderivative to get the velocity function. Once you have the velocity function, take another antiderivative to get the position function. Remember to add a constant "+C" whenever you take an antiderivative. Because a(t)=...
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 moves along the x-axis in such a way that its acceleration at time t for t≥q 0 is given by a(t)=4cos (2t). At time t=0, the velocity of the particle is v(0)=1 and its position is x(0)=0.Write an equation for the velocity v(t) of the particle. 相关知识点...
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...
结果1 题目 A particle moves along the x‑axis so that at any time t ≥ 0, its position is given by x(t) = 2t + sin (πt). What is the acceleration of the particle at time t = PD=12? A: 0 B: −π C: π D: π 相关知识点: 试题来源: 解析 Cπ 反馈 收藏 ...
A particle moves along the x-axis at a velocity of v(t)= 1(√ t), for t>0. At time t=1
题目A particle moves along the x-axis so that at any time t≥q 0 the acceleration of the particle is a(t)=e^(-2t). If at t=0 the velocity of the particle is 52 and its position is (17)4, then its position at any time t>0 is x(t)= ...