A particle has an initial velocity (6hat...

A particle has an initial velocity `(6hati+8hatj) ms^(-1)` and an acceleration of `(0.8hati+0.6hatj)ms^(-2)`. Its speed after 10s is

10 units

7 units

`7 sqrt(2)` units

8.5 units

Text Solution

Verified by Experts

The correct Answer is:

`vecv=vecu+vecat=(3hati+4hatj)+(0.4hati+0.3hatj)(10)`
`=7hati+7hatj`
So speed `=|vecv|=7 sqrt(2) ms^(-1)`

Topper's Solved these Questions

MOTION IN A PALNE
ALLEN|Exercise EXERCISE-2|170 Videos
MOTION IN A PALNE
ALLEN|Exercise EXERCISE-3|41 Videos
MOTION IN A PALNE
ALLEN|Exercise SOLVED EXAMPLE|28 Videos
KINEMATICS-2D
ALLEN|Exercise Exercise (O-2)|48 Videos
NEWTON'S LAWS OF MOTION & FRICTION
ALLEN|Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A particle has an initial velocity of 4 hati +3 hatj and an acceleration of 0.4 hati + 0.3 hatj . Its speed after 10s is

A particle has an initial velocity of 3hati+ 4hatj and an acceleration of 0.4hati +0.3hatj Its speed after 10 s is

A particle has an initial velocity 3hati+4hatj and an accleration of 0.4hati+0.3hatj . Its speed after 10s is

A particle has an initial velocity of 3hati + 4hatj and on acceleration of 0.4hatj + 0.3hatj . The magnitude of its velocity after 10 s is

A particle has initial velocity (2hati+3hatj) and acceleration (0.3hati+0.2hatj) . The magnitude of velocity after 10 second will be

A cricket ball of mass 150g has an initial velocity (3 hati + 4hatj)ms^(-1) and a final velocity upsilon = -(3hati + 4hatj)ms^(-1) after beigh hit The change in momentum (final momentum initial momentum) is (in kg ms^(-1) )

A particle moves from the point (2.0hati+4.0hatj) m at t=0, with an initial velocity ( 5.0hati+4.0hatj)ms^(-1) . It is acted upon by constant acceleration (4.0hati+4.0hatj)ms^(-2) . What is the distance (im metre) of the particle from the origin at time 2s?

A cricket ball of mass 150 g has an intial velocity u = (3 hati + 4 hatj)ms^(-1) and a final velocity v = -(3hati + 4 hatj) ms^(-1) , after being hit. The change in momentum (final momentum - initial momentum ) is (in Kg ms^(1) )

A projectile is given an initial velocity hati+2 hatj .The cartesin equation of its path is (g=10ms^(-2))

ALLEN-MOTION IN A PALNE-EXERCISE-1

A particle move a distance x in time t according to equation x = (t + ...
Text Solution
|
A ball is droped from a high rise platform t = 0 starting from rest. A...
Text Solution
|
A particle has an initial velocity (6hati+8hatj) ms^(-1) and an accele...
Text Solution
|
Which of the following statements is incorrect? (i) Average velocity i...
Text Solution
|
Prove that the distances traversed during equal intervals of time by a...
Text Solution
|
A body A is thrown up vertically from the ground with velocity V(0) an...
Text Solution
|
A boy standing at the top of a tower of 20m of height drops a stone. A...
Text Solution
|
A body is moving with velocity 30 m//s towards east. After 10 s its ve...
Text Solution
|
A particle covers half of its total distance with speed v1 and the res...
Text Solution
|
A particle starts from rest. Its acceleration at time t=0 is 5 m//s^(2...
Text Solution
|
The motion of a particle along a straight line is described by equatio...
Text Solution
|
A particle has initial velocity (2hati+3hatj) and acceleration (0.3hat...
Text Solution
|
A stone is dropped from a height h . It hits the ground with a certain...
Text Solution
|
A man runs at a speed of 4m//s to overtake a standing bus. When he is ...
Text Solution
|
Let r(1)(t)=3t hat(i)+4t^(2)hat(j) and r(2)(t)=4t^(2) hat(i)+3that(j...
Text Solution
|
A stone falls freely under gravity. It covered distances h1, h2 and h3...
Text Solution
|
A ball whose kinetic energy is E , is projected at an angle of 45(@) t...
Text Solution
|
A body is projected at such an angle that the horizontal range is thre...
Text Solution
|
A body is thrown with some velocity from the ground. Maximum height wh...
Text Solution
|
A body is thrown with a velocity of 9.8 m//s making an angle of 30^(@)...
Text Solution
|