Question

a body starts from rest and travel in straight line with the uniform acceleration of 5 metre per second square for 5 second what is the velocity and distance travel in this time​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Final\:velocity=25\:m/s}}}$

$\green{\tt{\therefore{Distance\:travlled=62.5\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given:}} \\ \tt: \implies Acceleration(a) = 5 \: {m/s}^{2} \\ \\ \tt: \implies Time(t) = 5 \: sec \\ \\ \red{\underline \bold{To \: Find:}}\\ \tt: \implies Final \: velocity(v ) = ? \\ \\ \tt: \implies Distance \: travelled(s ) = ?$

• According to given question :

$\tt \circ \: Initial \: velocity = 0 \: m/s \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies v = u + at \\ \\ \tt: \implies v = 0 + 5 \times 5 \\ \\ \tt: \implies v = 5 \times 5 \\ \\ \green{\tt: \implies v = 25 \: m/s} \\ \\ \bold{As \: we \: know \:that} \\ \tt: \implies s = ut + \frac{1}{2} a {t}^{2} \\ \\ \tt: \implies s = 0 \times 5 + \frac{1}{2} \times 5 \times {5}^{2} \\ \\ \tt: \implies s = 0 + \frac{1}{2} \times 5 \times 25 \\ \\ \tt: \implies s = \frac{125}{2} \\ \\ \green{\tt: \implies s = 62.5 \: m}$

Answer 2

Answer:

Given:

• A body starts from rest and travel in straight line with the uniform acceleration of 5 metre per second square for 5 second.

Find:

• What is the final velocity and distance travel in this • time.

According to the question:

• 5 m/s = Acceleration.

• 5 second = Time.

• Infinity velocity is equal to 0 m/s.

Know terms:

• (v) = velocity.

• (u) = Initial velocity.

• (a) = Acceleration.

• (t) = Time.

• (s) = Speed.

Using formula:

• v = u + at [ for case (1) ]

• s = ut + ½ at² [ for case (2) ]

Using the above formula, writing the calculations as follows:

Finding velocity:

⇒ v = 0 + 5 × 5

⇒ v = 5 × 5

⇒ v = 25 m/s - Case (1) [ Velocity ]

Finding distance travelled:

⇒ s = 0 × 5 + ½ × 5 × 5²

⇒s = 0 + ½ × 5 × 25

⇒ s = 125/2 = 62.5

⇒ s = 62.5 - Case (2) [ Speed ]

Therefore, 25 m/s is the final velocity and 62.5 is the speed.