Question

A motorcycle starting from rest covers 200 metre distance in 6 second. Calculate final velocity and acceleration of the motorcycle​

Answer 1

Question:-

A motorcycle starting from rest covers 200 metre distance in 6 second. Calculate final velocity and acceleration of the motorcycle.

Answer:-

• The acceleration of motorcycle is 5.56 m/s².
• The final velocity is 33.34 m/s.

To find:-

• final velocity
• acceleration of motorcycle

Solution:-

$\boxed{ \large{velocity = \frac{displacement}{time} }}$

• Displacement = 200 m
• Time taken = 6 seconds

$\implies \: velocity \: = \frac{200}{6} \\ \\ \implies \: velocity \: = 33.34 \: m {s}^{ - 1}$

• The final velocity is 33.34 m/s.

___________________________

ACCELERATION:-

• initial velocity (u) = 0 m/s
• Final velocity (v) = 33.34 m/s
• Time taken (t) = 6 seconds

$\boxed{ \large{acceleration = \frac{v - u}{t} }}$

$\implies \: acceleration = \frac{33.34 - 0}{6} \\ \\ \implies \: acceleration = \frac{33.34}{6} \\ \\ \implies \: acceleration = 5.56 \: {ms}^{ - 2}$

• The acceleration of motorcycle is 5.56 m/s².

Answer 2

Question:-

A motorcycle starting from rest covers 200 metre distance in 6 second. Calculate final velocity and acceleration of the motorcycle.

Answer:-

The acceleration of motorcycle is 5.56 m/s².

The final velocity is 33.34 m/s.

To find:-

final velocity

acceleration of motorcycle

Solution:-

\boxed{ \large{velocity = \frac{displacement}{time} }}

velocity=

time

displacement

Displacement = 200 m

Time taken = 6 seconds

\begin{gathered}\implies \: velocity \: = \frac{200}{6} \\ \\ \implies \: velocity \: = 33.34 \: m {s}^{ - 1}\end{gathered}

⟹velocity=

6

200

⟹velocity=33.34ms

−1

The final velocity is 33.34 m/s.

___________________________

ACCELERATION:-

initial velocity (u) = 0 m/s

Final velocity (v) = 33.34 m/s

Time taken (t) = 6 seconds

\boxed{ \large{acceleration = \frac{v - u}{t} }}

acceleration=

t

v−u

\begin{gathered}\implies \: acceleration = \frac{33.34 - 0}{6} \\ \\ \implies \: acceleration = \frac{33.34}{6} \\ \\ \implies \: acceleration = 5.56 \: {ms}^{ - 2}\end{gathered}

⟹acceleration=

6

33.34−0

⟹acceleration=

6

33.34

⟹acceleration=5.56ms

−2

The acceleration of motorcycle is 5.56 m/s².