The magnitude of velocity of a car moving in a vacant parking lot is and direction of velocity is with the positive direction of axis.
Further explanation:
Velocity is the rate of change of position of a body with respect to time. The velocity of car moving in a vacant parking lot is a function of time. The magnitude of the velocity of the car will change as the time changes but the direction may or may not change with respect to time.
Given :
The velocity of car as a function of time is given by
.
Concept:
From the given expression of velocity it can be observed that the velocity of the car has its components in and direction.
The component of velocity is:
The component of velocity is:
At .
The component of velocity is:
Similarly the component of velocity is:
The magnitude of velocity of car is:
Substitute for and for in the above expression .
Let is the angle made by the resultant velocity with the positive direction of axis.
The direction of velocity at time is calculated by:
Substitute for and for in the above expression .
Thus, the magnitude of velocity of a car moving in a vacant parking lot is and direction of velocity is with the positive direction of axis.
Learn more:
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Answer Details:
Grade: College
Subject: Physics
Chapter: Kinematics
Keywords:
Remote controlled car, vacant parking lot, function, time, V, v, 5.00 m/s, 5 m/s, 5 meter per second, (0.0180 m/s2 )t^2 I+ (0.550 m/s2)t j, magnitude, direction, t=8.00 s, 7.467 m/s, 58.984 degree, 2.00 m/s, 2 m/s.