Home
Class 12
PHYSICS
A particle has an initial velocity 3 hat...

A particle has an initial velocity `3 hat(i) + 4hat(j)` and an acceleration of `0.4 hat(i) + 0.30 hat(j)`. Its speed after 10s is

A

7 units

B

`7 sqrt(2)` units

C

8.5 units

D

10 units

Text Solution

Verified by Experts

The correct Answer is:
B
`vecv =vecu+vecat=(3hati+4hatj)+(0.4hati + 0.3 hatj ) (10)`
`=7hati +7hatj`
so speed `= |vecv|=7sqrt(2)ms^(-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle has an initial velocity of 3hat(i) + 4 hat(j) and an acceleration of 0.4 hat(i) + 0.3 hat(j) . Its speed after 10s is :

A particle has an initial velocity of 3hat(i) + 4 hat(j) and an acceleration of 0.4 hat(i) + 0.3 hat(j) . Its speed after 10s is :

A particle has initial velocity (3 hat i+ 4 hat j) and has acceleration (0.4 hat i+ 0.3 hat j) . Its speed after 10 s is.

A particle has initial velocity of (3hat(i)+4hat(j)) m//s and a acceleration of (4hat(i)-3hat(j)) m//s^(2) . Its speed after one second will be equal to :-

A particle is moving in x-y plane. At an instant, it has velocity (4 hat (i) + 4 hat(j)) m//s and acceleration (3 hat(i) + 5 hat(j)) m//s^(2) At that instant, the radius of curvature of its path will be :

A projectile is given an initial velocity of ( hat(i) + 2 hat (j) ) m//s , where hat(i) is along the ground and hat (j) is along the vertical . If g = 10 m//s^(2) , the equation of its trajectory is :

A projectile is given an initial velocity of ( hat(i) + 2 hat (j) ) m//s , where hat(i) is along the ground and hat (j) is along the vertical . If g = 10 m//s^(2) , the equation of its trajectory is :

Find the angle between the vectors 2 hat(i) - hat(j) - hat(k) and 3 hat(i) + 4 hat(j) - hat(k) .

The unit mass has r = 8 hat(i) - 4 hat(j) and v = 8 hat(i) + 4 hat(j) . Its angular momentum is

Starting from origin at t=0, with initial velocity 5 hat(j) m//s , a particle moves in the x-y plane with a constant acceleration of (10 hat(i) - 5hat(j))m//s^(2) . Find the coordinates of the particle at the moment its y-coordinate is maximum.