Speed vs Velocity

Q.

Boojho walks to his school which is at a distance from his home in $30$ minutes. On reaching he finds that the school is closed and comes back by bicycle with his friend and reaches home in $20$minutes. His average speed in $\mathrm{km}/\mathrm{h}$ is

1. $8.3$

2. $7.2$

3. $5$

4. $3.6$

Q.

Speed is a _____ quantity but velocity is a _________ quantity.

1. vector, vector

2. vector, scalar

3. scalar, scalar

4. scalar, vector

Q.

Ram goes from point A to B by auto at the speed of 20 km/hr and comes back from B to A in a cab at a speed of

80 km/hr. Find his average speed.

1. 0 km/hr

2. 50 km/hr

3. 100 km/hr

4. 32 km/hr

Q.

Avinash travels half the distance from his home to office at speed of 15 km/hr and rest of the journey at 30 km/hr. Find the average speed of Avinash on his way to office.

1. 30 km/hr

2. 20 km/hr

3. 10 km/hr

4. 15 km/hr

Q.

Q.

A car travels the distance between Delhi and Karnal in $3hours$. If the distance between the two towns is $120\mathrm{km}$, what is the average speed of the car?

Q. A man can swim with a speed of $4.0km/hr$ in still water. How long does he take to cross a river $1.0km$ wide, if the river flows steadily at $3.0km/hr$ and he makes his strokes normal to the river current? How far down the river does he go, when he reaches the other bank?

Q. A bus moves from stop $A$ to the next stop $B$. Its acceleration varies as $a=\alpha -\beta x$, where $\alpha$ and $\beta$ are positive constants and $x$ is the distance from the stop $A$ to stop $B$. The distance between $A$ and $B$ and the maximum speed of the bus are

1. $\frac{2\alpha }{\beta }\text{and}\frac{\alpha }{\sqrt{\beta }}$
2. $\frac{\alpha }{\beta }\text{and}\frac{\alpha }{\sqrt{\beta }}$
3. $\frac{\alpha }{\beta }\text{and}\frac{2\alpha }{\sqrt{\beta }}$
4. $\frac{2\alpha }{\beta }\text{and}\frac{2\alpha }{\sqrt{\beta }}$

Q. A $(trolley+child)$ of total mass $200kg$ is moving with a uniform speed of $36km/h$ on a frictionless track. The child of mass $20kg$ starts running on the trolley from one end to the other $(10m$ away) with the speed of $10m{s}^{-1}$ relative to the trolley in the direction of the trolley's motion and jumps out of the trolley with the same relative velocity. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?

Q. If the speed of a particular object is given, one can always tell its direction.

1. True
2. False

Q. A car travels at a speed of 60 km/hr due north and the other at a speed of 60 km/hr due east. Are the velocities equal? If no, which one is greater? If you find any of the questions irrelevant, explain.

Q. A bus moves from stop $A$ to the next stop $B$. Its acceleration varies as $a=\alpha -\beta x$, where $\alpha$ and $\beta$ are positive constants and $x$ is the distance from the stop $A$ to stop $B$. The distance between $A$ and $B$ and the maximum speed of the bus are

1. $\frac{2\alpha }{\beta }\text{and}\frac{\alpha }{\sqrt{\beta }}$
2. $\frac{\alpha }{\beta }\text{and}\frac{\alpha }{\sqrt{\beta }}$
3. $\frac{\alpha }{\beta }\text{and}\frac{2\alpha }{\sqrt{\beta }}$
4. $\frac{2\alpha }{\beta }\text{and}\frac{2\alpha }{\sqrt{\beta }}$