# A particle moves along the +ve direction of x-axis. Its position x depends on time t as x=at3+bt2+c+d. Let dx/dt represent instantaneous velocity d2x/dt2 represents instantaneous acceleration (α) of the particle.The average acc. of the particle is defined as <α> =∫αdt/dt. Find the average acc. in time interval t=0 to t=1s.

Question
18 views

A particle moves along the +ve direction of x-axis. Its position x depends on time t as x=at3+bt2+c+d. Let dx/dt represent instantaneous velocity d2x/dt2 represents instantaneous acceleration (α) of the particle.The average acc. of the particle is defined as <α> =∫αdt/dt. Find the average acc. in time interval t=0 to t=1s.

check_circle

Step 1

Given:

Position of particle (x)=at3+bt2+c+d

Step 2

differentiating w.r.t   t  to get instantaneous velocity.

Step 3

Differentiating  w.r.t  t to get  instan...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in