Home
Class 12
PHYSICS
The position vector of a particle is giv...

The position vector of a particle is given by `vec r = (2t hati+5t^(2)hatj)m` (t is time in sec). Then the angle between initial velocity and initial acceleration is

A

zero

B

`45^(@)`

C

`90^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C

The position ………… `(vecV)= (dvecr)/(dt) = 2hati+10t hatj`
`veca = 10 hatj`
`vecV(t = 0) = 2hati`
`veca(t=0)=10hatj`
`implies vecV _|_veca(theta = 90^(@))`
Promotional Banner

Similar Questions

Explore conceptually related problems

The position vector of a particle is given by vecr=(3t^(2)hati+4t^(2)hatj+7hatk)m at a given time t .The net displacement of the particle after 10 s is

The position of a particle is given by vec r =(8 t hati +3t^(2) +5 hatk) m where t is measured in second and vec r in meter. Calculate, the magnitude of velocity at t = 5 s,

The position vector of a particle is given by vecr=(2 sin 2t)hati+(3+ cos 2t)hatj+(8t)hatk . Determine its velocity and acceleration at t=pi//3 .

The position vector of a aprticle is given as vecr=(t^2-4t+6)hati+(t^2)hatj . The time after which the velocity vector and acceleration vector becomes perpendicular to each other is equal to

The position of a particle is given by vec r =(8 t hati +3t^(2) hatj +5 hatk) m where t is measured in second and vec r in meter. Calculate, direction of the velocity at t = 1 s

The position vector of a particle at time t is given by vecr=2t hati+5t hatj+4sin omegat hatk where omega is a constant.Answer the following questions Acceleration of the particle is

Position vector of a particle is given as r = 2t hati +3t^(2) hatj where t is in second and the coefficients have the proper units, for r to be in metres. (i) Find instantaneous velocity v(t) of the particle. (ii) Find magnitude and direction of v(t) at t = 2s

If postion vector of a particle is given by vec(r) = 10 alpha t^2 hati +[5 beta t- 5]hatj . Find time when its angular momentum about origin is O.

The position of a particle is given by vecr = 3t hati + 2t^(2) hatj + 5hatk , where t is in seconds and the coefficients have the proper units for vecr to be in metres. The direction of velocity of the particle at t = 1 s is

If the position vector of a particle is given by vec r =(4 cos 2t) hat j + (6t) hat k m , calculate its acceleration at t=pi//4 second .