Question

A bicycle essentially moving with a velocity 5m/sec excleats for 5seconds at a rate of 2 m/sec^2. What will be its final velocity .​

Answer 1

Appropriate Question: A bicycle initially moving with a velocity 5m/s accelerates for 5 seconds at a rate of 2 m/s² . What will be its final velocity ?

Answer:

$\Large {\large \boxed{{ \bf { 15 \; m/s }}}}$

Explanation:

As per the provided information in the given question, we have :

• Intial velocity of the bicycle, u = 5 m/s
• Acceleration, a = 2 m/s²
• Time taken, t = 5 seconds

We are asked to calculate its final velocity. Final velocity of he body is denoted by v.

Here, in order to calculate the final velocity of the bicycle, we'll be using the first equation of motion.

Accroding to the first equation of motion, final velocity is equivalent to the sum of initial velocity and product of acceleration and time. That is,

$\\ \twoheadrightarrow \quad \pmb{\boxed{\sf {v = u + at}} }$

• v denotes final velocity
• u denotes initial velocity
• t denotes time
• a denotes acceleration

Substituting values, we get :

$\\ \longrightarrow \sf{\quad { v = 5 + (5 \times 2) }}$

$\\ \longrightarrow \sf{\quad { v = 5 + (10) }}$

$\\ \longrightarrow \sf{\quad { v = 15}}$

$\\ \longrightarrow \bf{\quad {\underline{ Final \; velocity = 15 \; m/s}}}$

Therefore, final velocity of the the bicycle is 15 m/s.

Answer 2

$\large \underline{\tt Given} :$

• Initial velocity of bicycle, u = 5m/s
• Time, t = 5 s
• Acceleration of bicycle, a = 2m/s²

$\large \underline{\tt To \: Find} :$

• Final velocity of bicycle, v = ?

$\large \underline{\tt Solution} :$

As, we are given :

• Initial velocity, u = 5m/s
• Time, t = 5s
• Acceleration of bicycle, a = 2m/s²

So, to find final velocity (v), we have a formula :

$\: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \dag \:\pink{ \underline{\underline{\boxed{\bf v = u + at}}}}$

By substituting values :

$\sf : \implies v = 5m/s + 2m/s² \times 5s$

$\sf : \implies v = 5m/s + 10m/s$

$\sf : \implies v = 15m/s$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \pink{\underline{\boxed{\sf v = 15m/s}}}$

$\underline{\bf Hence, \: Final \: velocity\: of\: bicycle \: will\: be\: \pink{15m/s.}}$