Question

A car is moving from 10 metre in 10 seconds with 0 acceleration.find its displacement

Answer 1

Answer :

›»› The displacement of the car is 100 m.

Given :

• A car is moving from 10 metre in 10 seconds with 0 acceleration.

To calculate :

• The displacement of the car.

How to calculate?

Here in this question we have to calculate the displacement of the car. we can use the second equation of motion to calculate the displacement of the car which says s = ut + 1/2 × at².

Here,

• s is the Displacement.
• u is the Initial velocity.
• t is the Time taken.
• a is the Acceleration.

Units,

• The unit of Displacement is m.
• The unit of Initial velocity is m/s.
• The unit of Time taken is second.
• The unit of Acceleration is m/s².

We are asked to calculate the displacement of the car.

So, we must calculate "s".

Given that,

A car is moving from 10 metre in 10 seconds with 0 acceleration.

Therefore,

• u = 10 m/s
• t = 10 sec.
• a = 0 m/s².
• s = ?

Calculation :

From second equation of motion

→ s = ut + 1/2 × at²

→ s = 10 × 10 + 1/2 × 0 × (10)²

→ s = 10 × 10 + 1/2 × 0 × 100

→ s = 100 + 1/2 × 0 × 100

→ s = 100 + 1/2 × 0

→ s = 100 + 0

→ s = 100

Hence, the displacement of the car is 100 m.

Answer 2

$\huge {\sf {\underline {\underline {\red {Answer :-}}}}}$

For constant velocity : 

Constant velocity  u = 10 m/s

• Time  t = 10 s

So,

Displacement in 10 seconds  

S1 = ut = 10×10 = 100 m

For accelerated journey :

• Initial speed  u = 10 m/s

• Acceleration  a = 2 m/s2

• Time  t = 5 s

• Displacement in 5 seconds, 

• $\sf{S2 = ut+1/at^2}$

⟹ $\sf{S2 = 10 × 5 + 1/2 ×2×52 = 75 }$

Total displacement in 15 seconds  

Total = 100 + 75 = 175 m

$\underline{\orange{\blue\:Thank \ чou :-}}}$