Question

A particle moves along x-axis and its
x-coordinate depends on time 't given
by the following graph. Then interval in
which net force on particle is in negative
x direction is/are :​

Answer 1

Explanation:

Area under the a−t graph gives the change in the velocity because dv=adt

so the change in velocity i.e area is Δv=positive rectangle + positive triangle + negative big triangle

or Δv=5×1+

2

1

×(1.5−1)×5−

2

1

×(4−1.5)×10=−6.25m/s

so the new velocity will be v

i

+Δv=5−6.25=−1.25m/s