Question

A bus initially moving at 10m/s accelerates uniformly at 4m/s(^2)square.what is the speed of the bus after 5 seconds.

Answer 1

Given

• Initial velocity = 10 m/s
• Acceleration = 4 m/s²
• Time = 5 seconds

To Find

• Final velocity

Solution

We know that

$\red{\rm \longrightarrow v=u+at}$

Here

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• t = Time

Units

• v = metre/second (m/s)
• u = metre/second (m/s)
• a = metre/square second (m/s²)
• t = second (s)

According to the question

We are asked to find the final velocity

Therefore

We must find "v"

Given that

• Initial velocity = 10 m/s
• Acceleration = 4 m/s²
• Time = 5 seconds

Hence

• v = 10 m/s
• a = 4 m/s²
• t = 5 s

Substituting the values

We get

$\green{\rm \longrightarrow v=10+4(5) \ m/s}$

$\pink{\rm \longrightarrow v=10+20 \ m/s}$

Therefore

$\purple{\rm \longrightarrow v=30 \ m/s}$

Hence

Final velocity = 30 m/s

Answer 2

$\Large{\bold{\green{\underline{GiVeN\:;}}}}$

• A bus initially moving at 10 m/s.

$\longmapsto\:\:\bf\blue{Initial\:velocity\:(u)\:=\:10\:m/s}$

• Uniform acceleration of the bus 4 m/s².

$\longmapsto\:\:\bf\orange{Acceleration\:(a)\:=\:4\:m/s^2}$

• Time period is 5 seconds.

$\longmapsto\:\:\bf\green{Time\:(t)\:=\:5\:s}$

$\Large{\bold{\purple{\underline{To\:FiNd\:;}}}}$

• Final velocity of the bus.

$\\ \Large{\bold{\pink{\underline{CaLcUlAtIoN\:;}}}}$

$\bf\red{As\:we\:know\:that,}$

$\red\bigstar\:\:{\underline{\blue{\boxed{\bf{\color{peru}v\:=\:u\:+\:a\:t}}}}}$

$\bf\orange{Where,}$

• v is the final velocity of the bus.

$:\implies\:\:\bf{v\:=\:10\:+\:4\times{5}\:}$

$:\implies\:\:\bf{v\:=\:10\:+\:20\:}$

$:\implies\:\:\bf\green{v\:=\:30\:m/s}$

━─━─━─━─━─━─━─━─━─━─━─━─━─━─━

$\Large\bf\purple{Therefore,}$

The final velocity of the bus is 30 m/s.