shaalaa.com
S

Solution - The Position of a Particle is Given by Where T is in Seconds and the Coefficients Have the Proper Units for R to Be in Metres. Find the V and a of the Particle? and What is the Magnitude and Direction of Velocity of the Particle at T = 2.0 S - Motion in a Plane

Account
User


Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Question

The position of a particle is given by

`r = 3.0t  hati − 2.0t 2  hatj + 4.0  hatk m`

Where is in seconds and the coefficients have the proper units for to be in metres.

(a) Find the and of the particle?

(b) What is the magnitude and direction of velocity of the particle at = 2.0 s?

Solution

You need to to view the solution
Is there an error in this question or solution?

Similar questions VIEW ALL

A cyclist starts from the centre O of a circular park of radius 1 km, reaches the edge P of the park, then cycles along the circumference, and returns to the centre along QO as shown in Fig. If the round trip takes 10 min, what is the (a) net displacement, (b) average velocity, and (c) average speed of the cyclist?

view solution

For any arbitrary motion in space, which of the following relations are true:

a) `V_"average"` = (1/2) (v (t1) + v (t2))

b) `V_"average"` = [r(t2) - r(t1) ] /(t2 – t1)

c) v (t) = v (0) + a t

d) r (t) = r (0) + v (0) t + (1/2) a t2

e) `a_"average"` = =[ v (t2) - v (t1 )] /( t2 – t1)

(The ‘average’ stands for average of the quantity over the time interval t1 to t2)

view solution

In a harbour, wind is blowing at the speed of 72 km/h and the flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?

view solution

Read each statement below carefully and state, with reasons, if it is true or false:

The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector

view solution

Content BooksVIEW ALL [1]

Solution for question: The Position of a Particle is Given by Where T is in Seconds and the Coefficients Have the Proper Units for R to Be in Metres. Find the V and a of the Particle? and What is the Magnitude and Direction of Velocity of the Particle at T = 2.0 S concept: Motion in a Plane. For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science)
S