Question

a body posses an initial velocity of 5ms to power -1 and moves with a uniform acceleration of 2ms raised to power -2.Calculate the distance moved by the body in 4 secs​

Answer 1

Answer

Distance moved by the body in 4 s is 36 m

Given

Initial velocity of a body is 5 m/s

Uniform acceleration of the body is 2 m/s²

Time taken is 4 s

To Find

Distance moved by the body

Concept Used

As the acceleration is constant through out the motion , so we need to apply equation's of motion

$\bf \orange{\bigstar}\ \; s=ut+\dfrac{1}{2}at^2\ \; \green{\bigstar}$

Solution

Initial velocity , u = 5 m/s

Acceleration , a = 2 m/s²

Time , t = 4 s

Distance , s = ? m

Apply 2nd equation of motion ,

$\to \rm s=ut+\dfrac{1}{2}at^2\\\\\to \rm s=(5)(4)+\dfrac{1}{2}(2)(4^2)\\\\\to \rm s=20+16\\\\\to \bf s=36\ m$

So , Distance moved by the body in 4 s is 36 m

Answer 2

Answer:

✡ Question ✡

✏ A body posses an initial velocity of 5ms to power -1 and moves with a uniform acceleration of 2ms raised to power -2.Calculate the distance moved by the body in 4 secs.

✡ Given ✡

➡Initial velocity of a body = 5 m/s

➡Uniform acceleration of the body=2 m/s²

➡Time taken is 4 s

✡ To Find ✡

➡Distance moved by the body

✡ Solution ✡

➡Initial velocity , u = 5 m/s

➡Acceleration , a = 2 m/s²

➡Time , t = 4 s

➡Distance , s = ? m

▶We have to apply 2nd equation of motion ,

$\textbf{</em></strong><strong><em>s\</em></strong><strong><em>:</em></strong><strong><em> </em></strong><strong><em>=</em></strong><strong><em>\</em></strong><strong><em>:</em></strong><strong><em> </em></strong><strong><em>ut\</em></strong><strong><em>:</em></strong><strong><em> </em></strong><strong><em>+</em></strong><strong><em>\</em></strong><strong><em>:</em></strong><strong><em> </em></strong><strong><em>1</em></strong><strong><em>/</em></strong><strong><em>2</em></strong><strong><em> </em></strong><strong><em>\</em></strong><strong><em>:</em></strong><strong><em> </em></strong><strong><em>at²</em></strong><strong><em>}$

=> s = (5)(4) + 1/2 (2)(4)²

=> s = 20+16

=> s = 36 ✔

Hence, Distance moved by the body in 4 s is 36 m.

Explanation:

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