【题目】 A particle is projected from a point o, with an initial velocity of u m s-1, at an angle of ato the horizontal. In the vertical plane of projection, taking and y as the horizontal and vertical axes respectively Given that u=42 and that the particle passes through the point ...
【题目】Find the velocity, acceleration, and speed of a particle withposition vector r(t)=(t^2,e^t,te^t) A moving particle starts at an initial position r(0)=(1,0,0) with initial velocity v(0)=i-j+k . Its acceleration is a(t)=4ti+6tj+k . Find its velocity and position ...
Answer to: A particle moves with a velocity v1 for time t1 and velocity of v2 for time t2 along a straight line. What is the magnitude of average...
A moving particle starts at an initial position ( r)(0)=(1,0,0) with initial velocity ( v)(0)=( i)-( j)+( k). Its acceleration is ( a)(t)=4t( i)+6t( j)+( k). Find its velocity and position at time t. 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...
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】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)=...
1. A particle P of mass 2 kg is moving with velocity (3i+ 4j)m s' when it receives an impulse. Immediately after the impulse is applied, P has velocity (2i-3j)m s-'.(a) Find the magnitude of the impulse.(5)(b)Find the angle between the direction of the impulse and the ...
A particle moves along a straight line. The graph of the particle's velocity v(t) at time t is shown above for 0≤q t≤q m, where j, k, l, and m are constants. The graph intersects the horizontal axis at t=0, t=k and t=m and has horizontal tangents at t=j and t=l. ...