Which of the following option is correct for the object having a straight line motion represented by the following graph
  • average velocity is zero
  • velocity of the object increases uniformly
  • the object moves with constantly increasing velocity from O to A and then it moves with constant velocity
  • the graph shown is impossible
A body starts from rest at time t=0, the acceleration- time graph is shown in below figure. The maximum velocity attained by the body will be
  • 110 m/s
  • 550 m/s
  • 650 m/s
  • 55 m/s
A particle moving in a straight line covers half the distance with a speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during the entire motion is
  • 4 m/s
  • 5 m/s
  • 5.5 m/s
  • 4.8 m/s
A particle moving along x-axis has acceleration f at time t, given by $f=f_0 \frac {t}{T}$,where f_0 and T are constants. The particle at t=0 has zero velocity. In the time interval between t=0 and the instant when f=0, the particle’s velocity $v_x$ is
  • $\frac {1}{2} f_0 T^2$
  • $f_0 T^2$
  • $\frac {1}{2} f_0 T$
  • $f_0 T $
The relation between time t and distance x is $t=ax^2+bx$,where a and b are constants. The acceleration is
  • $-2abv^2$
  • $2bv^3$
  • $-2av^3 $
  • $2av^2$
A ball is dropped from a bridge 122.5 m above a river.After the ball has been falling for 2 seconds, a second ball is thrown straight down after it. What must the initial velocity of the second ball be so that both hit the water at the same time?
  • 40 m/s
  • 26.1 m/s
  • 9.6 m/s
  • 55.5 m/s
A car is moving at a speed of 50 km/hr can be stopped by brakes after atleast 6 m.If the same car is moving with the speed of 100km/hr,the minimum stopping distance is  
  • 12 m
  • 18 m
  • 6 m
  • 24 m
Two boys are standing at the ends A and B of a ground, where AB=a. The boy at B starts running in a direction perpendicular to AB with velocity  The boy at A starts running simultaneously with velocity v and catches the other by in a time t, where t is
  • $\frac {a}{\sqrt {v^2+v_1^2 }}$
  • $\sqrt { \frac {a^2}{v^2 -v_1^2}}$
  • $\frac {a}{v-v_1}$
  • $\frac {a}{v+v_1}$
A bus starts from rest with an acceleration of  A man, who is 48 m behind the bus, starts with a uniform velocity of 10 m/s. Then, the minimum time after which the man will catch the bus is
  • 4 sec
  • 8 sec
  • 16 sec
  • 10 sec
The acceleration ‘a’ in m/s2 of a particle is given by $a=3t^2+2t+2$ where t is the time in seconds. If the particle starts out with a velocity v=2 m/s at t=0, then the velocity at the end of 2 seconds is
  • 12 m/s
  • 36 m/s
  • 27 m/s
  • 18 m/s
A body starting from rest moves along a straight line with a constant acceleration. The variation of speed (v) with distance (s) is represented by the graph
  • a
  • b
  • c
  • d
0 h : 0 m : 1 s