A cyclist starts from rest and pedals with constant force, causing her velocity to increase at a steady rate. After 5 seconds, which feature best describes the corresponding velocity-time graph for this motion?
A straight line sloping upward starting from the origin
A constant force produces a constant acceleration (F = ma), so the velocity increases by equal amounts in equal intervals of time. This is uniformly accelerated motion.
On a velocity–time graph, the slope equals acceleration. A constant acceleration gives a constant slope, i.e. a straight line; since the velocity increases, the line slopes upward, and since the cyclist starts from rest (v = 0 at t = 0), the line starts from the origin.
A curved line would mean changing acceleration, a downward line would mean decreasing velocity, and a horizontal line would mean constant velocity with zero acceleration; none matches a steady increase from rest.
Hence, A straight line sloping upward starting from the origin.
Similar Questions
A train moves 60 km at 30 km/h, halts for 1h, and then covers 90 km at 45 km/h. What is the average speed over the entire journey?
If two objects have velocity-time graphs that are both straight lines parallel to the time axis but at different heights, what does this indicate about the two objects?
In a distance-time graph, if the curve is NOT a straight line, then it represents _______.
A bus moves with a constant speed, represented by a straight line on a distance-time graph that rises from 0 m at 0 s to 90 m at 15 s. What is the speed of the bus?
A train moves with a constant acceleration and its velocity-time graph is a straight line. If the graph passes through the points (0 s, 5 m/s) and (8 s, 21 m/s), what is the total displacement of the train in 8 seconds?
What does the slope of a velocity-time graph for a body moving with uniform acceleration represent?
In all three equations of motion, the acceleration is assumed to be ________.
A runner completes a 400 m circular track in 80 s, ending at the starting point. What is the magnitude of average velocity for this run?
During a hike, a person walks 7 km east and then 24 km north. Which description best matches the person’s resultant displacement vector?
Which of the following is not an example of uniform circular motion?
Important Questions from Motion
An object is covering distance in direct proportion to the square of time elapsed. What conclusion can be drawn about the motion of the object?
If the distance time graph of the motion of an object is a straight line but not parallel to the time axis, then it may be concluded that the object is moving with a:
Vehicles have treaded tires so that it_______.
What is the formula for momentum?
Momentum of a given body is doubled. Its kinetic energy becomes (mass not changed)
