suppose aparticle is moving in a plane coordinate system in which the coordinates are r and ? . obtain the expressions of position vector,velocityand acceleration of the particle interms of the coordinates r and ? and unit vectors in the direction of increasing r and ?.

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A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 18.0 t and y = 4.00 t – 4.90 t², where x and y are in meters and t is in seconds.

(a) Write a vector expression for the ball’s position as a function of time, using the unit vectors

and

By taking derivatives, obtain expressions for

(b) the velocity vector

as a function of time and

as a function of time.

(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.00 s.

orangeswan163

The figure below shows the straight path of aparticle across an xy coordinate system as it is acceleratedfrom rest during time interval ?t₁. The acceleration is constant. The xycoordinates for point A are (4.00 m, 4.00 m) and those for point B are(12.0 m, 18.0 m). <?xml:namespace prefix = o ns ="urn:schemas-microsoft-com:office:office" />

the ratioax/ay of the acceleration components is1.75

What are the coordinates of the particle ifthe motion is continued for another 5 intervals of ?t₁?

(x,y) = (292,508) m

Can someone explain how they got 292 and 508 for and ycoordinates?

A golf ball is hit off a tee at the edge of a cliff. its x and y coordinates as functions of time are given by x= 18t and y =4t-4.9t^2, where x and y are in meters and t is in secs. a) write a vector expression for the ball's position as a function of time using the unit vectors i and j. by taking derivatives, obtain expressions for b)the velocity vector v as a function of time and c) the acceleration vector a as a function of time. d) next use the unit vector notation to write expression for the position, the velocity and the acceleration of the golf ball a t=3sec.

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suppose aparticle is moving in a plane coordinate system in which the coordinates are r and ? . obtain the expressions of position vector,velocityand acceleration of the particle interms of the coordinates r and ? and unit vectors in the direction of increasing r and ?.

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Physics: Principles with Applications

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