For relative velocities it is necessary to establish:
"V_{P\/A}=V_{P\/B}+V_{B\/A}"
Where:
"V_{P\/A}"
"V_{B\/A}"
"V_{p\/B}"
Now.
Part A
Velocity of the child with respect to the bus:
"V_{P\/B}=1.0\\frac{m}{s}"
Velocity of the bus with respect to the passenger. (moves at the same velocity as the bus)
"V_{B\/A}=0\\frac{m}{s}"
Now, evaluating numerically
"V_{P\/A}=1.0\\frac{m}{s}+0\\frac{m}{s}"
The velocity relative to the child on the bus is:
"V_{p\/A}=1.0\\frac{m}{s}"
Part B
Velocity of the child with respect to the bus.
"V_{P\/B}=1.0\\frac{m}{s}"
velocity of the bus with respect to the observer.
"V_{B\/A}=5.0\\frac{m}{s}"
Numerically evaluating
"V_{P\/A}=5.0\\frac{m}{s}+1.0\\frac{m}{s}"
The relative speed of the child with respect to waiting outside the bus is:
"V_{P\/A}=6.0\\frac{m}{s}"
Comments
Leave a comment