Speed Time Graph

Q.

In which condition a harmonic motion becomes a simple harmonic motion?

Q.

Velocity versus displacement curve of a particle moving in straight line is shown in the figure. From a point P, a line is drawn perpendicular to displacement axis and line PR is drawn normal to the curve at P. The instantaneous acceleration of the particle at point P___.

Q.

What is the direction of instantaneous acceleration?

Q.

What is the difference between Acceleration and Velocity?

Q.

A projectile is thrown with velocity 50m/s towards an inclined plane from ground such that it strikes the inclined plane perpendicular. The angle of projection of projectile is 53° with the horizontal and inclined plane is inclined at an angle of 45° to the horizontal. Find (a) time of flight (b) the distance between the point of projection and the foot of inclined plane.

Q.

Slope of the velocity - time graph gives

1. Speed

2. Displacement

3. Distance

4. Acceleration

Q. A man is $45m$ behind the bus when the bus starts accelerating from rest with acceleration $2.5m/s^2$. With what minimum velocity should the man start running to catch the bus?

1. $12m/s$
2. $16m/s$
3. $14m/s$
4. $15m/s$

Q. A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball $\left(v\right)$ as a function of time $\left(t\right)$ is:

Q. A person standing on the floor of an elevator drops a coin. The coin reaches the floor of the elevator-

1. $t_1>t_2$
2. $t_1=t_2$
3. $t_1<t_2$
4. $t_1<t_2$ or $t_1>t_2$ depending on whether the lift is going up or down

Q. Velocity-time graph of a particle moving in a straight line as shown in the figure. At $t=0,x=+10$ $m$. In which region particle is moving towards the origin?

1. $AB$ and $BC$
2. $BC$ and $DE$
3. $BC$ and $CD$
4. $CD$ and $DE$

Q.

Define uniform acceleration.

Q. The graph of velocity vs. time of a moving particle plotted at right. What is the acceleration and displacement of the particle at point A ?

1. Acceleration decreasing, displacement decreasing
2. Acceleration constant, displacement decreasing
3. Acceleration increasing, displacement decreasing
4. Acceleration decreasing, displacement increasing
5. Acceleration increasing, displacement increasing

Q. Aball is droped from the top of the tower of height h .It covers a distance of h/2 in the last second of its motion .How long does the ball remain in air .(Take g = 10 ms${}^{-2}$)

1. $\sqrt{2}$ s
2. $2s$
3. $(2+\sqrt{2}$) s
4. None of the above

Q. The graph shows how the speed of car changes with time. how far does the car travel before the brakes are applied?

1. $200m$
2. $250m$
3. $300m$
4. $350m$

Q. A ball is dropped from a height of $90m$ on a floor. At each collision with the floor, the ball loses one tenth of its speed. Plot the speed-time graph of its motion between $t=0$ to $12s$.

Q. The velocity-displacement for a jet plane on a straight runway is shown in. Determine the speed and acceleration of the jet plane at $s=150m$

1. $3m/s^2$
2. $5m/s^2$
3. $9m/s^2$
4. $43m/s^2$

Q.

Draw the speed time graph from the given velocity time graph.

1. 

2. 

3. 

4. 

Q. Choose incorrect option for the time interval $t=0tot=2T_0$.

1. Average accelerations of particle A and B are non zero
2. Average speeds of particle A, B and C are non zero
3. Average velocities of particle A, B and C are zero
4. Average velocities of particle A, B, C and D are zero

Q. Assertion :Velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to the time axis. Reason: In uniform motion of an object velocity increases as the square of time elapsed.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
3. Assertion is correct but Reason is incorrect
4. Both Assertion and Reason are incorrect

Q. A projectile is fired horizontally with a velocity of 98 m/s from the top of a hill 490 m high. Find (1) the velocity with which the projectile strikes the ground. (2) the time taken to reach the ground.

Q.

A ball is dropped from a height of 90 m on a floor. At each collision with the floor, the ball loses one tenth of its speed. Plot the speed-time graph of its motion between t = 0 to 12 s.

Q. The speed of the block at point C, immediately before it leaves the second incline is

1. $\sqrt{120}m/s$
2. $\sqrt{90}m/s$
3. $\sqrt{75}m/s$
4. $\sqrt{105}m/s$

Q. A particle obeys the following $v-t$ graphs as shown. The average velocity over $30s$ is:

1. $10m/s$
2. $5m/s$
3. $\frac{10}{3}m/s$
4. Zero

Q. Above figure shows a graph of $v_x$ versus $t$ for the motion of a motorcyclist as he starts from rest and moves along the road in a straight line. (a) Find the average acceleration for the time interval $t=0$ to $t=6.00s$. (b) Estimate the time at which the acceleration has its greatest positive value and the value of the acceleration at that instant. (c) When is the acceleration zero? (d) Estimate the maximum negative value of the acceleration and the time at which it occurs.

Q. A plot of acceleration and displacement for a particle performing SHM along X-axis gives a straight line in:

1. 1st quadrant
2. 2nd quadrant
3. 3rd quadrant
4. 4th quadrant

Q. From certain height, two bodies are projected horizontally with velocities $10m/s$ and $20m/s$. They hit the ground in $t_1$ and $t_2$ seconds. Then

1. $t_1=t_2$
2. $t_1=2t_2$
3. $t_2=2t_1$
4. $t_1=\sqrt{2t_2}$

Q. What quantity is equal to the area under the velocity-time graph and the time axis of a moving object ?

Q. A ball with initial speed of $10m/s$ collides elastically with two other identical ball whose centres are on a line perpendicular to the initial velocity and which are initially in contact with each other. All the three ball are lying on a smooth horizontal table. The first ball is aimed directly at the contact point of the other two balls. All the balls are smooth. Find the velocities of the three balls after the collision :

1. $8m/s,6m/s,\angle {30}^{\circ }$
2. $-2m/s,6.93m/s,\angle {30}^{\circ }$
3. $3.33m/s,6.67m/s,\angle {30}^{\circ }$
4. $6.67m/s,3.33m/s,\angle {30}^{\circ }$

Q. In the following speed-time graph (Fig. 2.10), the area under the graph gives :

1. distance travelled
2. average speed
3. average velocity
4. displacement travelled

Q. The velocity time plot for a particle moving on a straight line is shown in the figure
a)The particle has a constant acceleration
b)The particle has a never turned around
c)The particle has zero displacement
d)The avenger speed in the interval $0$ to $10s$ is the same as the avenger speed in the interval $10s$ to $20s$
the average speed in the interval $10s$ to $20s$

1. $a$ & $b$ are correct
2. $b$ & $c$ are correct
3. $c$ & $d$ are correct
4. $a$ & $d$ are correct