Question

The velocity of a body is given by V=
ť +672 +9t + 10. Find the distance
covered in 5 seconds.​

Answer 1

Magnitude of area under the v−t graph gives the distance travelled by the body.

For 0≤t≤4 s :

Displacement S

1

= Area =

2

1

×(20+40)×2+

2

1

×(1+2)×20=90 m

For 4≤t≤5 s :

Displacement S

2

= Area =

2

1

×1×20=10 m

Total distance d=S

1

+S

2

=90+10=100 m