Question

The velocity of a body changes from 65 m/s - 98 m/s by Time of 12 s . What is distance covered by body if acceleration is 2.75 m/s2.​

Answer 1

Answer:

꧁P꧁R꧁I꧁N꧁C꧁E꧂

Step-by-step explanation:

➡️ Answer: Distance covered by body if acceleration is 2.75 m/s² is 978 m ..

♥️ HAPPY FRIENDSHIP DAY ♥️

Answer 2

Answer:

$\huge \color{cyan} \colorbox{skyblue}{αɳรωεɾ}</p><p></p><p>$

Step-by-step explanation:

Question:

The velocity of a body changes from 65 m/s - 98 m/s by time of 12 s. What is distance covered by body if acceleration is 2.75 m/s².

Answer:

Distance covered by body if acceleration is 2.75 m/s² is 978 m.

Explanation:

Given that:

Initial velocity (u) = 65 m/s

Final velocity (v) = 98 m/s

Time taken (t) = 12 s

Acceleration (a) = 2.75 m/s²

To Find:

Distance covered (s)?

Solution:

Using second equation of motion ::

We know that,

$⧪ \boxed{\bf{\purple{s = ut + \dfrac{1}{2}\:at^2}}} </p><p>$

Where,

s denotes distance covered

u denotes initial velocity

t denotes time taken

a denotes acceleration

According to the question by using the formula we get,

$</p><p>➼ \sf s = (65\:\times\:12) + \Bigg\{\dfrac{1}{2}\:\times\:2.75\:\times\:(12)^2\Bigg\}s=(65×12)+{ </p><p>2</p><p>1</p><p> </p><p> ×2.75×(12) </p><p>2</p><p> }$

$➼ \sf s = 780 + \Bigg\{\dfrac{1}{\cancel{2}}\:\times\:2.75\:\times\:\cancel{144}\Bigg\}s=780+{ </p><p>2</p><p> </p><p> </p><p>1</p><p> </p><p> ×2.75× </p><p>144</p><p> }$

$➼ \sf s = 780 + (2.75\:\times\:72)s=780+(2.75×72)$

$➼ \sf s = 780 + 198s=780+198$

$➼ \bf\pink{ s = 978\:m}s=978m$

∴ Hence, distance covered by body if acceleration is 2.75 m/s² is 978 m.

Additional Information:

clubsuit♣ Three equations of motion ::\

\

v = u + at

s = ut + ½ at²ㅤㅤ[Used above]

v² = u² + 2as

\clubsuit♣ Some important definitions ::

Acceleration

Acceleration is the process where velocity changes. Since, velocity is the speed and it has some direction. So, change in velocity is considered as acceleration.

• Initial velocity

Initial velocity is the velocity of the object before the effect of acceleration.

• Final velocity

After the effect of acceleration, velocity of the object changes. The new velocity gained by the object is known as final velocity.