Question

A body X moves with an initial velocity of 10 m/s and acceleration 2 m/s^2. Simultaneously, another body starting from rest and moves with acceleration 3 m/s^2. X and Y will have the same velocity after an interval of time :

Answer 1

10s

Step-by-step explanation:

Body X

• Let's derive an equation for the final velocity of X
• v = u + at
• v = 10 + 2t [Equation 1]

Body Y

• Similarily, we need an equation for v here as well
• v = u + at
• v = 0 + 3t
• v = 3t [Equation 2]

Equating both equations

• 10 + 2t = 3t
• t = 10s

Answer 2

Apply first equation of kinematics v=u+at

For x

• v=10+2t

For y

• v=0+3t

So

• x=y
• 10+2t=3t+0
• t=10s