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)=3...
【题目】A particle moves along the x-axis so that, atany time t≥0 , its acceleration is given bya(t)=6t+6. At time t=o, the velocity of the particle is -s and its position is -27.Find o(t), the velocity of the particle at any time t. ...
【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...
The acceleration of a particle moving only on a horizontalx(a)=3that(i)+4that(j),where vec(a)is in meters per second- squared andtis in seconds. Att=0,the position vector vec(r)=(16.0m)hat(i)+(41.0m)hat(j)locate...
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 so that, at any time t≥ 0, its acceleration is given by a(t)=6t+6. At time t=0, the velocity of the particle is -9 and its position is -27.Find v(t), the velocity of the particle at any time t. 相关知识点: 试题来源: 解析 v(t...
A particle moves along a curve so that its acceleration is given bywhen , the particle is at with \dfrac {\d x}{\d t}=0 and \dfrac {\d y}{\d t}=2.Find the position vector at any time . 相关知识点: 试题来源: 解析 , and since when , it follows that .So . Also ; ...
At corotating interaction regions, pickup ions (either of interstellar or inner-source origin) are naturally accelerated to high energies. It will be shown that their acceleration is strongly favored at the reverse shock over the forward shock. The physics of the injection problem (the difficulty...
【题目】 1) A particle initially located at the o rigin has an acceleration o f = 2.00 m/s2 and an initial velocity o f 0 = 7.00 m/s.(a)Find the vector position at any time t (wh ere t is measured in seconds).(t+t2)m Find the vector velocity at any time t.(+ t ) m/...
(b) Find the coordinates of the particle at t =2.00s.x=my=mFind the speed of the particle at this time.m/s2)Consider a planet of radius 5.93 106 m with a rotation period of 21.8 hours.Compute theradial acceleration of a point on the surface of the planet at the equator due to ...