Non Uniform Motion & Avg Velocity

Q.

A car travels the first half of a distance between two places at a speed of 30 km/hr and the second half of the distance at 50 km/hr. The average speed of the car for the whole journey is

1. 42.5 km/hr

2. 40.0 km/hr

3. 37.5 km/hr

4. 35.0 km/hr

Q.

A car moves for half of the total time of travel at 80 km/h and for rest half of the time at 40 km/h.

If the total distance covered is 60 km, what is the average speed of the car?

1. 60 km/h

2. 80 km/h

3. 120 km/h

4. 180 km/h

Q. A car travelled first third of a distance at 10 km/h, second third of the distance at 20 km/h and last third of the distance at 60 km/h. Mean speed of the car over entire distance is

1. 30 km/h
2. 54 km/h
3. 20 km/h
4. 18 km/h

Q.

A car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is

1. 40 km/hr

2. 80 km/hr

3. 

4. 36 km/hr

Q.

A boy walks to his school at a distance of 6 km with constant speed of 2.5 km/hour and walks back with a constant speed of 4 km/hr. His average speed for round trip expressed in km/hr, is

1. 40/13

2. 24/13

3. 3

4. 1/2

Q.

A train has a speed of 60 km/h for the first one hour and 40 km/h for the next half hour. Its average speed in km/h is

1. 50

2. 70

3. 53.33

4. 48

Q. The velocity of A and B are Va=2i+4j and Vb=3i-7j. Velocity of B as Observed By A is?

Q. A particle covers one fourth of its distance with speed v and remaining with speed 2v, then average speed of particle is 1) 8/5v 2)3/2v 3) v 4) 5/8v

Q.

A train passes over a $400m$ long bridge. If the speed of the train is $30m/s$ and the train takes $20s$ to cross the bridge, find the length of the train.

1. $400m$

2. $600m$

3. $800m$

4. $200m$

Q.

A car travels from A to B at a speed of 20 km/hr and returns at a speed of 30 km/hr. The average speed of the car for the whole journey is

1. 25 km/hr

2. 24 km/hr

3. 50 km/hr

4. 5 km/hr

Q. A bus travels the first one third distance at a speed of 20 km h–1, and the next two-third distance at a speed of 30 km h–1. What is the average velocity of the bus?

Q. Q1.A car covers a certain dis†an ce in two equal time intervals. The speed for first half of time is v1 and for second half of time is v2. The average speed car for the entire trip is

Q. A particle is moving in a circle of radius r at o with constant speed v the change in velocity moving from A to B is (angle AOB = 40 degree)

Q. A particle is moving on a circular path with constantspeed v. It moves between two points A and Bwhich subtends an angle 60^° at the centre of circle.The magnitude of change in its velocity and changein magnitude of its velocity during motion from A toB are respectively

Q.

A person travels along a straight road for half the distance with velocity $v_1$ and the remaining half distance with velocity $v_2$ The average velocity is given by

1. $v_1{v}_2$

2. $\frac{v_2{}^2}{v_1{}^2}$

3. $\frac{v_1+v_2}{2}$

4. $\frac{2v_1{v}_2}{v_1+v_2}$

Q. If a car covers $\frac{2}{5^{th}}$ of the total distance with $v_1$ speed and $\frac{3}{5^{th}}$ distance with $v_2$ then average speed is

1. 
2. 
3. 
4. 

Q.

A car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is

1. 40 km/hr

2. 80 km/hr

3. $46\frac{2}{3}$ km/hr

4. 36 km/hr

Q.

A train has a speed of 60 km/h for the first one hour and 40 km/h for the next half hour. Its average speed in km/h is

1. 50

2. 53.33

3. 48

4. 70

Q. A woman starts from her home at 9.00 am, walks with a speed of $5km{h}^{-1}$ on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of $25km{h}^{-1}$. Plot the position-time graph of the woman taking her home as origin.

Q. A car travelled first third of a distance at 10 km/h, second third of the distance at 20 km/h and last third of the distance at 60 km/h. Mean speed of the car over entire distance is

1. 30 km/h
2. 20 km/h
3. 18 km/h
4. 54 km/h

Q.

A car travels the first half of a distance between two places at a speed of 30 km/hr and the second half of the distance at 50 km/hr. The average speed of the car for the whole journey is

1. 42.5 km/hr

2. 40.0 km/hr

3. 37.5 km/hr

4. 35.0 km/hr

Q. 34.A particle is moving in a circle of radius r having centre o with a constant speed v.the magnitude of change in velocity moving from a to b is

Q. The position of the particle moving on $X$-axis is given by, $X=A{t}^3+B{t}^2+Ct+D.$ The numerical values of $A,B,C,D$ are $1,4,-2$ and $5$ respectively and SI units are used. Find the average velocity during the interval $t=0$ to $t=4s$.

1. $25\frac{m}{s}$
2. $35\frac{m}{s}$
3. $40\frac{m}{s}$
4. $30\frac{m}{s}$

Q. If velocity $v$ of a particle as a function of position $x$ is given as $v=(\alpha -\beta x)$ where at $t=0,x=0$. Then,

1. Maximum displacement of particle is $\frac{\alpha }{\beta }$.
2. Maximum displacement of particle is $\infty$.
3. It takes $\infty$ time for particle to stop.
4. Time taken to reduce to half of initial velocity is $\frac{ln\left(2\right)}{\beta }$.

Q. What is the importance of direction ? (Speed and velocity)

Q. A truck moves a dis†an ce of 50 km. It covers first half of the dis†an ce at speed of 200 m/s and second half at speed v. If average speed of truck is 100 m/s then value of v is

Q.

One of the rectangular components of a velocity of 60km/h is 30km/h.Find the other rectangular component

Q. If a car covers $\frac{2}{5^{th}}$ of the total distance with $v_1$ speed and $\frac{3}{5^{th}}$ distance with $v_2$ then average speed is

1. $\frac{1}{2}\sqrt{v_1{v}_2}$
2. $\frac{v_1+v_2}{2}$
3. $\frac{2v_1{v}_2}{v_1+v_2}$
4. $\frac{v_1{v}_2}{3v_1+2v_2}$

Q. Solve this:

Q1. The displacement x of a particle moving along x-axis at time t is given by x² = 2t² + 6t. The velocity at any time t is


$$\begin{gathered} \left(1\right)\frac{4t+6}{x}\left(2\right)\frac{2t+x}{x} \\ \left(3\right)4t+6\left(4\right)\frac{2t+3}{x} \end{gathered}$$

Q. An elevator starts from the ground floor and reaches the 120th floor in 1 min. It's velocity throughout the journey is 2 floors per sec.

1. False
2. True