A particle moves through space along a smooth curve so that its speed is always positive...
A particle moves through space along a smooth curve so that its speed is always positive but its normal component of acceleration is always zero. Describe the motion of the particle. Justify your answer.
Homework Answers
We know ,Due to noraml acceleration direction of object continuously changes,Or we can if we want to change the direction of moving body we need normal acceleration.
Since normal component of acceleration is zero it means direction of object is fixed ,object moves in straight line and Velocity is always positive it means object move straight in positive direction.
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A particle moves through space along a smooth curve so that its
speed is always positive...
The table gives coordinates of a particle moving through space along a smooth curve. yz 2.8...
The table gives coordinates of a particle moving through space along a smooth curve. yz 2.8 9.5 3.8 0 0.5 3.1 7.7 .4 1.0 4.96,2 3.2 5.9 6.8 2.8 1.5 2,0 7,1 7,6 2.7 (a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 21, and [1, 1.5]. (Round your answers to the nearest tenth.) [0, 1] Vave [0.5, 1] Vave 1, 2]: vave 1, 1.5] Vave the particle at t = 1. (Use the time...
EX #1: For t > 0, a particle moves along a curve so that its position...
EX #1: For t > 0, a particle moves along a curve so that its position at time t is (x(t), y(t)), where x(t) = 4t and = 1 - 2t. Find the time t at which the speed of the particle is 5.
The table gives coordinates of a particle moving through space along a smooth curve. 0 2.8...
The table gives coordinates of a particle moving through space along a smooth curve. 0 2.8 9.6 3.8 0.5 3.7 7.5 3.4 1.0 4.1 6.0 3.0 1.5 5.1 6.8 2.9 2.0 7.6 7.4 2.6 (a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to the nearest tenth.) [0.5, 1: Vave - [1, 2] Vave [1,15% [1, 1.5]: Vave vave- (b) Estimate the velocity and speed of the particle...
4. A particle moves along the curve y = A12 so that its position is given...
4. A particle moves along the curve y = A12 so that its position is given by x = Bt. (a) Find the position vector of the particle in the form 式t) = x(t) + y(t) j (b) Calculate the speed u = of the particle along this path at an arbitrary instant t.
1) A particle moves along the x-axis with an increasing speed. During the time for which...
1) A particle moves along the x-axis with an increasing speed. During the time for which this occurs, what MAY be the signs of the velocity and acceleration, respectively: A) positive and zero B) negative and negative C) positive and negative D) negative and zero E) negative and positive 2) After a ball is thrown upward and is in the air, what will its acceleration do? A) decrease and then increase B) decrease C) increase D) remain the same E)...
A particle moves along a space curve,r=r(t) is the time measured from some initial time. if...
A particle moves along a space curve,r=r(t) is the time measured from some initial time. if v=/dr/dt/=ds/dt is the magnitude of the velocity of the particle (s is the arc length along space curve measured from the initial position),prove that the acceleration a of particle is given by a=dv/dtT+v^2/pN where T and N are unit tangent and normal vectors to the space curve and p=|d^2r/ds^2|^-1={(d^2/ds^2)^2+. (d^2y/ds^2)^2 + (d^2z/ds^2)^2}^-1/2
The table gives coordinates of an object moving through space along a smooth curve. a. Find...
The table gives coordinates of an object moving through space along a smooth curve. a. Find the average velocities over the time intervals [0, 1] , [0.5, 1] , [1, 2], and [1, 1.5]. b. Estimate the instantaneous velocity and speed of the particle at t=1. t x y z 0 5.7 15.6 8.7 0.5 5.1 17.2 8.3 1.0 4.3 19.0 8.0 1.5 4.9 20.4 7.8 2.0 7.3 21.8 7.7
3. The particle moves along a planar curve y = et, where r and y are...
3. The particle moves along a planar curve y = et, where r and y are measured in meters. It has a constant speed v = 12 m/s. Then the tangential and normal components of acceleration are at = m/s2 and an = m/s2 at y= 1 m. (Express the answer to two significant p=(1+roji figures. Hint: ) = (TT51FTS) 13: 23:
A particle moves along the curve y = x^3/2 such that its distance from the origin, measured along...
A particle moves along the curve y = x^3/2 such that its distance from the origin, measured along the curve, is given by s = t^3 . Determine the acceleration in vector form when t = 2 seconds. The units are inches and seconds.
The table gives coordinates of a particle moving through space along a smooth curve. yz 2.8 9.5 3.8 0 0.5 3.1 7.7 .4 1.0 4.96,2 3.2 5.9 6.8 2.8 1.5 2,0 7,1 7,6 2.7 (a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 21, and [1, 1.5]. (Round your answers to the nearest tenth.) [0, 1] Vave [0.5, 1] Vave 1, 2]: vave 1, 1.5] Vave the particle at t = 1. (Use the time...
EX #1: For t > 0, a particle moves along a curve so that its position at time t is (x(t), y(t)), where x(t) = 4t and = 1 - 2t. Find the time t at which the speed of the particle is 5.
The table gives coordinates of a particle moving through space along a smooth curve. 0 2.8 9.6 3.8 0.5 3.7 7.5 3.4 1.0 4.1 6.0 3.0 1.5 5.1 6.8 2.9 2.0 7.6 7.4 2.6 (a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to the nearest tenth.) [0.5, 1: Vave - [1, 2] Vave [1,15% [1, 1.5]: Vave vave- (b) Estimate the velocity and speed of the particle...
4. A particle moves along the curve y = A12 so that its position is given by x = Bt. (a) Find the position vector of the particle in the form 式t) = x(t) + y(t) j (b) Calculate the speed u = of the particle along this path at an arbitrary instant t.
3. The particle moves along a planar curve y = et, where r and y are measured in meters. It has a constant speed v = 12 m/s. Then the tangential and normal components of acceleration are at = m/s2 and an = m/s2 at y= 1 m. (Express the answer to two significant p=(1+roji figures. Hint: ) = (TT51FTS) 13: 23:
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