Given:
Velocity of the plane = 150 m/s
Acceleration for the first 5 seconds = 6 m/s²
If the plane continues on for 5 more seconds at this new velocity, let's plot a velocity vs time graph for the entire 10 seconds.
Let's first find the velocity for the second 5 seconds.
Apply the motion equation:
v = u + at
Where:
v is the final velocity
u is the initial velocity = 150 m/s
a is acceleration = 6 m/s²
t is the time = 5 seconds
• Velocity for the first 5 seconds:
v = 150 + 6×5
v =150 + 30
v = 180 m/s
The velocity for the first 5 seconds is 180 m/s
• To find the velocity for the next 5 seconds, we have:
v = u + at
Where:
u = 180 m/s
a = 6 m/s²
t = 5 seconds
Thus, we have:
v = 180 + 6×5
v = 180 + 30
v = 210 m/s
Thus, the velocity for the next 5 seconds is 210 m/s.
The velocity vs time graph for the entire 10 seconds is below: