Question bank: Kinematics: Path of a Body

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Question 1:

Medium

A toy car is being moved on top of a rectangular table measuring 1.5 meters in length by 1 meter in width. The car starts moving from the bottom left corner of the table, going straight to the top right corner and then makes a turn, moving straight to the bottom right corner of the table. a) Describe the trajectory of the toy car in relation to the table. b) Calculate the total distance traveled by the toy car. c) Draw a diagram representing the trajectory of the toy car and indicate the measurements involved.

Kinematics: Path of a Body

Question 2:

Medium

A ball is thrown horizontally with an initial velocity v0 from a platform located at a height h above the ground. Neglecting air resistance and considering the constant acceleration of gravity g, which of the alternatives below correctly represents the trajectory described by the ball?

Kinematics: Path of a Body

Contextualized Question

Question 3:

Medium

A car is moving on a road, making a right turn. Which of the alternatives correctly describes the trajectory of this car?

Kinematics: Path of a Body

Question 4:

Medium

A car travels in a straight line along a straight and horizontal road. During a stretch of 10 kilometers, the car maintains a constant speed of 72 km/h. An observer, standing at a fixed point on the road, records the car's movement and notes the vehicle's positions every minute. After 15 minutes of observation, the positions recorded by the observer are: after 0 minutes, the car is at kilometer 0; after 5 minutes, the car is at kilometer 6; and after 10 minutes, the car is at kilometer 12. Based on this information and considering that the car maintains its constant speed, discuss: 1) What is the trajectory of the car's movement on this stretch of the road? 2) How can the concepts of kinematics and geometry be applied to determine the car's trajectory? If necessary, use formulas and physical principles to justify your answer.

Kinematics: Path of a Body

Multidisciplinary Question

Question 5:

Hard

A car starts moving in a straight line on a perfectly flat road with a constant acceleration of 2 m/s². After traveling 60 m, the driver decides to maintain a constant speed. The car continues at this new speed for another 300 m, until the driver brakes to a stop in a distance of 40 m. Disregarding air resistance and possible variations in gravity acceleration, determine: a) The speed of the car when the driver decides to maintain a constant speed. b) The braking acceleration of the car after the driver decides to brake. Consider the acceleration due to gravity as 10 m/s² and disregard possible variations in gravity acceleration.

Kinematics: Path of a Body

Contextualized Question

Calculus Question

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