1. In this problem, you will work out the dimensions and units of quantities fromequations. This is a very useful method for checking the physical validity ofequations.(a) Consider a particle whose position x is given as a function of its speed vby the following equation v = Ce¯x, where b and C are positive constants.Find the units of C and b in the S.I system.Practice Quiz1(b) Consider a particle velocity v is given as a function of time t by thefollowing equation, v= Aw sin(at) where A, o are positive constants. Findthe units of A and in S.I units.2. A particle is moving in a straight line. The graph denotes the velocity of theparticle as a function of time.(a) Draw a graph of the acceleration of the particle as a function of time. Yourgraph should include the magnitude and sign of the acceleration.(b) Draw a graph of the displacement of the particle as a function of time. Theparticle starts from x = 0.108(s/w) AAA2.6-8-10-t (sec)

Concept: An equation is correct only when it is dimensionally correct also. An equation is said to…

1. In this problem, you will work out the dimensions and units of quantities from equations. This is a very useful method for checking the physical validity of equations. (a) Consider a particle whose position x is given as a function of its speed v by the following equation v = Cex, where b and C are positive constants. Find the units of C and b in the S.I system. (b) Consider a particle velocity v is given as a function of time t by the following equation, v= Ao sin(at) where A, o are positive constants. Find the units of A and o in S.I units.

1. In this problem, you will work out the dimensions and units of quantities from equations. This is a very useful method for checking the physical validity of equations. (a) Consider a particle whose position x is given as a function of its speed v by the following equation v = Cex, where b and C are positive constants. Find the units of C and b in the S.I system. (b) Consider a particle velocity v is given as a function of time t by the following equation, v= Ao sin(at) where A, o are positive constants. Find the units of A and o in S.I units.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...

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After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by v=1.2i9.8tj where v is in meters per second and t is in seconds. The balls displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by r=00.3803vdt To perform the integral, you can use the calculus theorem [A+Bf(x)]dx=Adx+Bf(x)dx You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s.