Average speed

Q. A $10\text{hr}$ tour is made at an average speed of $40\text{km/h}$. If during the first half of the distance, the average speed of the bus was $30\text{km/h}$. What was the average speed (in $\text{km/h}$) for the second half of the trip?

[Give nearest integer value]

Q. Ramesh swims in a $90\text{m}$ long pool. He covers $180\text{m}$ in one minute by swimming from one end to the other and back along the same straight path. Find the average speed and average velocity of Ramesh, respectively.

1. $3{\text{ms}}^{-1},3{\text{ms}}^{-1}$
2. $3{\text{ms}}^{-1},0$
3. $0,3{\text{ms}}^{-1}$
4. $0,0$

Q. Between two stations a train accelerates uniformly at first, then moves with constant speed and finally retards uniformly. If the ratios of time taken are $1:8:1$ and the greatest speed is $60\text{km/hr}$, find the average speed over the whole journey.

1. $25\text{kmph}$
2. $50\text{kmph}$
3. $54\text{kmph}$
4. $72\text{kmph}$

Q. A car travelled the first one-third of the distance $d$ at a speed of $5{\text{kmh}}^{-1}$, the second one-third of the distance at a speed of $10{\text{kmh}}^{-1}$ and the last one-third of the distance at a speed of $15{\text{kmh}}^{-1}$. Determine the average speed of the car(in $km/h$)

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 moving on a straight road covers $\frac{1}{3}\text{rd}$ of the total distance with speed $40$ km/h and remaining distance with speed $60$ km/h. Average speed of the car for total distance is

1. $48.7$ km/h
2. $51.4$ km/h
3. $58$ km/h
4. $72$ km/h

Q. A man walks at a speed of $6\text{km/h}$ for $1\text{km}$ and $8\text{km/h}$ for next $1\text{km}$. What is his average speed for the walk of $2\text{km}$?

1. $5\text{km/h}$
2. $6\text{km/h}$
3. $7\text{km/h}$
4. $8\text{km/h}$

Q. If a particle revolves in a circle of radius $R$, with time period $T$. The average speed and average velocity during two complete revolutions of the particle will respectively be

1. $\frac{\pi R}{T},0$
2. $\frac{4\pi R}{T},\frac{\pi R}{T}$
3. $\frac{2\pi R}{T},0$
4. $0,\frac{2\pi R}{T}$

Q. A particle moves along a straight line and its velocity depends on time as $v=6t-3t^2$ where $v$ is in $\text{m/s}$ and $t$ in seconds. Find the average speed for first 4 seconds. (in $\text{m/s}$)

Q. A car moves through $20\text{km}$ with a speed of $40\text{km/hr}$ and the next $20\text{km}$ with a speed of $60\text{km/hr}$. Calculate its average speed.

1. $45\text{km/hr}$
2. $48\text{km/hr}$
3. $52\text{km/hr}$
4. $58\text{km/hr}$

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. Between two stations a train accelerates uniformly at first, then moves with constant speed and finally retards uniformly. If the ratios of time taken are $1:8:1$ and the greatest speed is $60\text{km/hr}$, find the average speed over the whole journey.

1. $25\text{kmph}$
2. $50\text{kmph}$
3. $54\text{kmph}$
4. $72\text{kmph}$

Q. A car travelled the first one-third of the distance $d$ at a speed of $20km{h}^{-1}$, the second one-third of the distance at a speed of $40km{h}^{-1}$ and the last one-third of the distance at a speed of $120km{h}^{-1}$. Determine the average speed of the car.

1. $18km/h$
2. $27km/h$
3. $36km/h$
4. $45km/h$

Q. If velocity of a particle is $v\left(t\right)=2t-4\text{m/s}$, the average speed and magnitude of average velocity of the particle in $10\text{sec}$ respectively are

1. $4.8\text{m/s},4\text{m/s}$
2. $6\text{m/s},6\text{m/s}$
3. $6.8\text{m/s},6\text{m/s}$
4. $5.2\text{m/s},4.4\text{m/s}$

Q. A particle moves along two paths $AOB$ and $AB$ of an arc $(r=\pi \text{m})$ as shown in the figure.
What will be the average speed of particle for the paths $AOB$ and $AB$ respectively, if it completes the journey from $A$ to $B$ in $\frac{\pi }{3}\text{sec}$ in each way?

1. $6\text{m/s}$ and $12\text{m/s}$ respectively
2. $2.5\text{m/s}$ and $\frac{\pi }{6}\text{m/s}$ respectively
3. $6\text{m/s}$ and $2\pi \text{m/s}$ respectively.
4. $2\text{m/s}$ and $4.5\text{m/s}$ respectively

Q. The position of the particle is given by $x=t^2+5t+2$ in $\text{m}$. The average speed of the particle in $6\text{sec}$ is

1. $11\text{m/s}$
2. $10\text{m/s}$
3. $13\text{m/s}$
4. $12\text{m/s}$

Q. A particle moves along a straight line and its velocity depends on time as $v=6t-3t^2$ where $v$ is in $\text{m/s}$ and $t$ in seconds. Find the average speed for first 4 seconds. (in $\text{m/s}$)

Q. A boy travels from $A$ to $B$ at a speed of $2.5\text{km/hr}$ and returns at a speed of $0.5\text{km/hr}$. The average speed of the boy for the whole journey is

1. $1\text{km/hr}$
2. $0.83\text{km/hr}$
3. $1.2\text{km/hr}$
4. $1.5\text{km/hr}$

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

1. $25\text{km/hr}$
2. $24\text{km/hr}$
3. $50\text{km/hr}$
4. $5\text{km/hr}$

Q. A boy walks to his school at a distance of $9km$ with constant speed of $3km{h}^{-1}$ and walks back with a constant speed of $6km{h}^{-1}$. His average speed for round trip in ($km{h}^{-1}$) is

1. $3$
2. $4$
3. $5$
4. $6$

Q. A particle is moving in a circle of radius $R$ with constant speed. The time period of the particle is $T$. In a time $t=\frac{T}{6}$, average speed of the particle is

1. $\frac{\pi R}{6T}$
2. $\frac{2\pi R}{3T}$
3. $\frac{2\pi R}{T}$
4. $\frac{R}{T}$

Q.

Vijay has to go to office from home. He travels the first half of the distance at speed of 30 km/hr. For the remaining distance he travels at 10 km/hr for half the time and at 20 km/hr for the rest. Find his average speed.

1. 40 km/hr

2. 30 km/hr

3. 20 km/hr

4. 25 km/hr

Q. Between the two stations, a train accelerates from rest uniformly at first, then moves with constant velocity and finally retards uniformly to come to rest. If the ratio of the time taken be $1:8:1$ and the maximum speed attained be $60\text{km/h}$, then, what is the average speed over the whole journey?

1. $48\text{km/hr}$
2. $52\text{km/hr}$
3. $54\text{km/hr}$
4. $56\text{km/hr}$

Q. A car covers $40\text{km}$ at a uniform speed of $80\text{km/h}$ and the next $40\text{km}$ at a uniform speed of $100\text{km/h}$. Find the average speed of the car during its entire journey.

1. $82\text{km/h}$
2. $85\text{km/h}$
3. $89\text{km/h}$
4. $92\text{km/h}$

Q. A particle moving in a straight line covers half the distance with a speed of $3\text{m/s}$. The other half of the distance is covered in two equal time intervals with speed of $4.5\text{m/s}$ and $7.5\text{m/s}$ respectively. The average speed of the particle during this motion is

1. $4.0\text{m/s}$
2. $5.0\text{m/s}$
3. $5.5\text{m/s}$
4. $4.8\text{m/s}$

Q. A boy walks to his school at a distance of $9km$ with constant speed of $3km{h}^{-1}$ and walks back with a constant speed of $6km{h}^{-1}$. His average speed for round trip in ($km{h}^{-1}$) is

1. $3$
2. $4$
3. $5$
4. $6$

Q.

What is the average speed and average velocity till t = 20s?

1. 1 m/s, -1 m/s

2. 1m/s, 0

3. 0, 1 m/s

4. 0, 0

Q. Between two stations, a train accelerates uniformly at first, then moves with constant speed and finally retards uniformly. If the ratios of time taken are $2:1:2$ and the greatest speed is $10\text{km/hr}$, find the average speed over the whole journey.

1. $6\text{km/hr}$
2. $9\text{km/hr}$
3. $4.5\text{km/hr}$
4. $3\text{km/hr}$

Q. A bus travelling the first one-third distance at a speed of $10\text{km/h},$ the next one-third at $20\text{km/h}$ and the last one-third at $60\text{km/h}$. The average speed of the bus is

1. $24\text{km/h}$
2. $18\text{km/h}$
3. $30\text{km/h}$
4. $42\text{km/h}$