A particle is seen at x=0 and t=0. The acceleration of the particle depends on time asa=(2m/s3)t+(1m/s2) along x-axis
If the particle is at rest at the origin at the moment t=0, then at t=6 sec, its velocity is
Asked by Anil
| 11th Jun, 2017,
07:46: PM
Expert Answer:
When a particle is seen at x=0 and t=0 and the acceleration of the particle depends on time as
a=(2m/s3)t+(1m/s2) i.e a=2t+1 along x-axis.
Also, if that particle is at rest at the origin at time t=0, then at t=6 sec, its velocity is calculated by using the relation that acceleration is the rate of change of velocity with respect to time i.e
Therefore, at time t=6 secs, the velocity of the particle is 42 m/s.


Answered by Abhijeet Mishra
| 11th Jun, 2017,
10:08: PM
Concept Videos
- please solutions
- Distance covered by a train is 72 km with initial velocity of 20 m/s in 30 minutes. Find it's acceleration
- Derive an expression for average acceleration and instantaneous accelerationfor the motion of an object in x-y plane
- Velocity as a function of position for a particle is given as v = √x (ii) Find acceleration as function of time.
- Formula to find distance travelled by an uniformly accelerated body is
- The distance x covered by a body moving in a straight line in time t is given by the relation- 2x²+3x=t If v is the velocity of body at a certain instance of time, find it's acceleration.
- eg. v = 2x ; assume t = 0 ; x = 2 m ; find a(t)?
- Define instantaneous acceleration.
- The velocity of the particle is given by v = 4t2 + 7 cm/s. Find the velocity of the particle during the time interval t1 = 2s and t2 = 4s also find the average acceleration during the same interval of time.
- The displacement of a particle along x-axis is given by x = 4 + 6t + 5t2. Obtain its velocity and acceleration at t = 2s.
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change