Which of these statements are true...
I think (1)and (5) are correct
1)A reversing vehicle must have negative velocity
2) A stationary object must have zero position
3)Two vehicles trvelling at the same speed at the same instant of time on the same road must have the same velocity.
4) If a vehicle has zero acceleration it must be stationary
5) Velocity is the rate of change of position
6)An object slowing down must have negative velocity
7)The graph of position against time for a vehicle with constant velocity is a straight line
I appreciate your help :- Thanks
see above.
To determine which statements are true, we will analyze each statement:
1) A reversing vehicle must have negative velocity.
This statement is true. When a vehicle is reversing, it is moving in the opposite direction of its initial motion, therefore it has negative velocity.
2) A stationary object must have zero position.
This statement is incorrect. A stationary object can have any position. Position refers to the location or coordinates of an object, whereas a stationary object means it is not moving. Therefore, a stationary object can have a non-zero position.
3) Two vehicles traveling at the same speed at the same instant of time on the same road must have the same velocity.
This statement is true. Velocity refers to the speed and direction of an object. If two vehicles are traveling at the same speed (magnitude) and in the same direction, their velocities are the same.
4) If a vehicle has zero acceleration, it must be stationary.
This statement is true. Acceleration represents the rate of change of velocity. If the acceleration is zero, it means there is no change in velocity. If a vehicle has zero acceleration, it remains at a constant velocity, which means it cannot be accelerating or decelerating, thus it must be stationary.
5) Velocity is the rate of change of position.
This statement is true. Velocity is defined as the rate of change of position over time. It describes the speed and direction of an object's motion.
6) An object slowing down must have negative velocity.
This statement is incorrect. An object can slow down without having a negative velocity. Velocity is a vector quantity, which means it has both magnitude (speed) and direction. If an object is initially moving in a positive direction and then slows down, its velocity will still be positive, but with a decreasing magnitude.
7) The graph of position against time for a vehicle with constant velocity is a straight line.
This statement is true. If a vehicle maintains a constant velocity, its position will change linearly with respect to time. This results in a straight line when plotting position against time on a graph.
So, out of the given statements, the true ones are:
1) A reversing vehicle must have negative velocity.
3) Two vehicles traveling at the same speed at the same instant of time on the same road must have the same velocity.
4) If a vehicle has zero acceleration, it must be stationary.
5) Velocity is the rate of change of position.
7) The graph of position against time for a vehicle with constant velocity is a straight line.