Question

2) Calculate displacement if ... u= 5m/s , a = 12 m/s², t = 3 sec.​

Answer 1

hope u understand this sol..

the answer is 69 m/s

Answer 2

Answer -

• The displacement = 69 m.

To calculate -

• The displacement.

Step-by-step explanation -

• Here, the initial velocity, acceleration and time are given to us. We have to calculate the displacement.

We know that -

$\bigstar \: \underline{ \boxed{ \sf Displacement = ut + \dfrac{1}{2} {at}^{2} } }$

Where -

• u = Initial velocity.
• t = Time.
• a = Acceleration.

Here -

• Initial velocity = 5 m/s.
• Acceleration = 12 m/s².
• Time = 3 seconds.

Therefore -

$\mapsto\rm \: Displacement = 5 \times 3 + \dfrac{1}{2} \times 12 \times {3}^{2}$

$\mapsto \: \rm Displacement = 15 + \dfrac{1}{2} \times 12 \times 9$

$\mapsto \: \rm Displacement = 15 + \dfrac{1}{2} \times 108$

$\mapsto \: \rm Displacement = 15 + \cancel{\dfrac{108}{2}}$

$\rm\mapsto \: Displacement = 15 + \dfrac{54}{1}$

$\mapsto \: \rm Displacement = 15 + 54$

$\mapsto \: \rm Displacement = 69 \: m$

Hence -

• The displacement is 69 m.

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