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Cheat sheet · JEE Preparation Physics

Motion in a Straight Line cheat sheet

The whole chapter on one page: key formulas, facts and the points to remember, for quick revision before a test.

JEE · Physics

Cheat sheet

Class 11 · Chapter 2Motion in a Straight Line

Slope of x–t is velocity; slope of v–t is acceleration; area under v–t is displacement.

1. Basic Terms

  • Displacement: change in position (vector); distance is path length (scalar).
  • Average velocity =ΔxΔt= \dfrac{\Delta x}{\Delta t}; instantaneous velocity v=dxdtv = \dfrac{dx}{dt}.
  • Acceleration a=dvdta = \dfrac{dv}{dt}.
  • Average speed ≥ |average velocity|.

2. Equations of Motion (uniform a)

v=u+atv = u + at
s=ut+12at2s = ut + \tfrac{1}{2}at^2
v2=u2+2asv^2 = u^2 + 2as
sn=u+a2(2n−1)s_n = u + \tfrac{a}{2}(2n - 1)

sns_n = distance in the nnth second.

3. Graphs

GraphSlope givesArea gives
x–tvelocity—
v–taccelerationdisplacement
a–t—change in velocity

4. Free Fall & Relative Velocity

Take a=−ga = -g (upwards positive). Thrown up with speed uu:

Hmax=u22gH_{max} = \dfrac{u^2}{2g}tup=ugt_{up} = \dfrac{u}{g}T=2ugT = \dfrac{2u}{g}

Relative velocity: vAB=vA−vBv_{AB} = v_A - v_B.

5. Key Points

  • Body thrown up returns with same speed.
  • At the top, v = 0 but a = g.
  • Galileo: distances in successive seconds from rest are 1 : 3 : 5 : 7.
  • Straight x–t line ⇒ uniform velocity.

Remember: 3 equations | slope & area of graphs | free fall a = g

Motion in a Straight Line: questions and notes

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