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Two particles 1 and 2 start from origin and move along same straight line in same direction. The acceleration versus time graph of both particles is shown in figure. Choose correct statement about the motion of 1 and 2 :

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Important Questions on Rectilinear Motion

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A particle moves in x-y plane according to equations, x=4t2+5t+16 & y=5t. Here x, y and t are in their SI units. The acceleration of the particle will be:
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At t=0 second a particle is at point A and moves along the shown path ABCDE with uniform speed v=1+π3 m s-1. Both the straight segments AB and DE are along the diameter BD of semicircle BCD of radius R=1 metre. Then the instant of time at which the instantaneous velocity of the particle is along the direction of average velocity from t=0 sec to that instant is also

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For a particle moving along x-axis, the acceleration a of the particle in terms of its x-coordinate and it is given by a=-9 x, where x is in meters and a is in m s-2. Take acceleration, velocity and displacement in positive x-direction as positive. The initial velocity of particle at x=0 is u=+6 m s-1. The velocity of particle at x=2 m will be :
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A car starts from rest & again comes to rest after travelling 200 m in a straight line. If its acceleration and deceleration are limited to 10 m s-2 and 20 m s-2 respectively, then minimum time the car will take to travel the distance is
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Figure shows the position x versus timet graph for a particle moving in a straight line. At which point, the instantaneous velocity is greater than the average velocity from O to that point?

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A particle moves in a straight line with an acceleration a m s-2 at time t seconds where a=-1t2. When t=1 the particle has a velocity of 3 m s-1 then find the velocity when t=4
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The displacement of a body from a reference point is given by x=2t-3, where x is in metres and t in seconds. This shows that the body:
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Two particles at a distance 5 m apart are thrown towards each other on an inclined smooth plane with equal speeds v. It is known that both particle move along the same straight line. Find the value of v if they collide at the point from where the lower particle is thrown. Inclined plane is inclined at an angle of 30° with the horizontal [take g=10 m s-2]