Home » Mechanics » Motion in a Straight Line » Question

Motion in a Straight Line

Easy Questions
Moderate Questions
Difficult Questions

Mechanics

Physical World, Units and Measurements
Motion in a Straight Line
Motion in a Plane
Laws of Motion
Work, Energy and Power
Gravitation
Mechanical Properties of Solids
Mechanical Properties of Fluids
System of Particles and Rotational Motion
  1. The displacement of a particle varies withtime (t) as: s = at² – bt³. The acceleration of the particle at any given time (t) will be equal to
    1. a/b
    2. a/3b
    3. 3b/a
    4. 2a/3b
Correct Option: B

s = at² – bt³

v =
ds
 = 2at - 3bt²
dt

a =
dv
 = 2a - 6bt
dt

2a - 6bt = 0
⇒
a
3b


Your comments will be displayed only after manual approval.