The average velocity is 4i m/sec , the average acceleration is 4i
What is a Vector ?
A vector is an object that has both magnitude and direction.
It is given that
x=at²i + btj
where t is in second and x is in meter.
The average velocity is given by dx/dt
dx/dt = 2at i + b j
dx/dt = 2 * 2 * t i +1 j
dx/dt = 4t i +j
dx/dt in the time interval of 2 to 3 sec is
at 2 sec,
dx/dt = 4 * 2 i +j = 8i +j
at 3 sec ,
dx/dt = 4 * 3 i + j = 12i+j
Therefore the average velocity is
(12i +j - 8i -j)/ (3-2) = 4i
The velocity at any given time is dx/dt = 4t i +j
The acceleration at any given time is d²x/dt²
d²x/dt² = 4 i
the average acceleration in the time interval t₁=2sec and t₂=3sec
Average Acceleration = 4i
To know more about Vector
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