Question

Q.2 A truck starting from a transport point and moving with uniform acceleration

attains a speed of 72 km/h in 5 minutes. Find its acceletation.​

Answer 1

Given :

• Initial Velocity(u) = 0 m/sec

• Final Velocity(v) = 72 km/hr

• Time = 5 minutes

To Find :

• Acceleration produced

Solution :

First of all convert the given units into their Standard Form.

• Speed = 72 km/hr

[For converting km/hr into m/sec you've to multiply the unit with 5/18]

→ 72 × $\sf\dfrac{5}{18}$

→ 4 × 5

→ 20 m/s

• Time = 5 minutes

[For converting minute into second you've to multiply the unit with 60 as 1 minute = 60 seconds]

→ 5 × 60

→ 300 seconds

Now,

$\bigstar \: \boxed{ \sf \: Acceleration = \dfrac{Change \: in \: Velocity}{ Time \: taken}}$

$\longrightarrow \: \boxed{ \sf \: Acceleration = \dfrac{ Final \:Velocity - Initial \: Velocity}{ Time \: taken}}$

$\bigstar \: \: \: \: \boxed{ \sf \: a= \dfrac{v - u}{ t}}$

$\longrightarrow \sf \: a = \dfrac{20 - 0}{300}$

$\longrightarrow \sf \: a = \cancel\dfrac{20}{300}$

$\longrightarrow \sf \red{ a = 0.067m {s}^{ - 1} \: \: (Approx)}$

$\therefore$ Acceleration Produced by the Truck is 0.067m/s²