Question

1) Velocity is defined as
2)What is the formula for accelaration
3). A car accelerates from 12 m /s to 2 m /s over a period of 5 seconds. What is its acceleration
4) A vehicle travelling at 40 m/s accelerates uniformly at 5 m/s2 for 20 seconds. What is its final speed? *​

Answer 1

Required Answers :-

1. Velocity is defined as

Ans - Velocity is defined as the rate of changing position and speed by a body.

2. What is the formula for accelaration

Ans - Acceleration = Change in velocity/Time

3. We have

Initial velocity = 12 m/s

Final velocity = 2 m/s

Time = 5 sec

Acceleration = (Final velocity - Initial Velocity)/Time

Acceleration = (2 - 12)/5

Acceleration = -10/5

Acceleration = -2 m/s²

4.  We have

Initial velocity = 40 m/s

Acceleration = 5 m/s²

Time = 20 sec

We know that

Acceleration = (Final velocity - Initial Velocity)/Time

5 = (v - 40)/20

5 × 20 = v - 40

100 = v - 40

100 + 40 = v

140 = v

Final velocity is 140 m/s

Answer 2

$\sf \: Questions 1 : Velocity \: is \: defined \: as$

$\bf \: Answer:-$The velocity of an object is defined as the displacement ( covered by it ) per unit time in a particular direction.

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$\sf \: Questions 2 : What \: is \: the \: formula \: for \: Acceleration \: ?$

$\sf \: Answer: \red{ \boxed{ \: Acceleration = \dfrac{Change \: in \: velocity}{Time \: taken}}}$

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$\sf \: Questions \: 3:$

A car accelerates from 12 m /s to 2 m /s over a period of 5 seconds. What is its acceleration

$\bf \: Solution :$

Given that

• Initial Velocity = 12 m/s
• Final Velocity = 2 m/s
• Time taken = 5 seconds

To Find

• what is its acceleration?

Solution

We know that Acceleration = Change in velocity/ Time taken

Substituting Values

$\tt\longrightarrow \: Acceleration = \dfrac{2-12}{5} \\ \\\ \tt\longrightarrow \: Acceleration = \cancel\dfrac{-10}{5} \\ \\ \tt\longrightarrow \: Acceleration = - 2m/s$

Hence Acceleration is -2m/s

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$\sf \: Question 4:$A vehicle travelling at 40 m/s accelerates uniformly at 5 m/s2 for 20 seconds. What is its final speed?

$\bf \: Solution:$

Given that

• Initial Velocity 40m/s
• Acceleration = 5m/s²
• Time taken = 20 seconds

To Find

• final velocity

Solution

We know that Acceleration = Change in velocity/Time taken

$\tt\longrightarrow Acceleration = \dfrac{Change \: in \: velocity}{Time \: taken } \\ \\ \tt\longrightarrow 5 = \frac{v - 40}{20} \\ \\ \tt\longrightarrow5 \times 20 = v - 40 \\ \\ \tt\longrightarrow100 = v - 40 \\ \\ \tt\longrightarrow100 + 40 = v \\ \\ \tt\longrightarrow140 = v$

Hence final velocity be 140m/s