Questions in Motion in A Straight Line

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A body travels for 15 sec starting from rest with constant acceleration. If it travels distances \[{{S}_{1}},\ {{S}_{2}}\] and \[{{S}_{3}}\] in the first five seconds, second five seconds and next five seconds respectively the relation between \[{{S}_{1}},\ {{S}_{2}}\] and \[{{S}_{3}}\] is
A body is moving according to the equation \[x = at + b{t^2} - c{t^3}\] where \[x = \] displacement and \[a,\;b\] and \[c\] are constants. The acceleration of the body is
A particle travels 10m in first 5 sec and 10m in next 3 sec. Assuming constant acceleration what is the distance travelled in next 2 sec
The distance travelled by a particle is proportional to the squares of time, then the particle travels with
Acceleration of a particle changes when
The motion of a particle is described by the equation \[u = at\]. The distance travelled by the particle in the first 4 seconds
The relation \[3t = \sqrt {3x} + 6\] describes the displacement of a particle in one direction where \[x\] is in metres and \[t\] in sec. The displacement, when velocity is zero, is
A constant force acts on a body of mass 0.9 kg at rest for 10s. If the body moves a distance of 250 m, the magnitude of the force is
The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms–1. If the change in velocity of the body is 0.18ms–1 during this time, its uniform acceleration is
Equation of displacement for any particle is \[s = 3{t^3} + 7{t^2} + 14t + 8m\]. Its acceleration at time \[t = 1\] sec is

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