Forces and their effects：練習問題

What does the slope of a distance-time graph represent?

The following velocity-time graph represents the motion of a toy car. The car starts from rest and reaches a velocity of \(5 \text{ m/s}\) at \(t = 2 \text{ s}\), maintains this velocity until \(t = 6 \text{ s}\), and then decelerates to rest at \(t = 10 \text{ s}\). Calculate the total distance traveled by the car.

A stone is thrown vertically upwards with an initial velocity of \(30 \text{ m/s}\). What is the maximum height reached by the stone? (Take \(g = 10 \text{ m/s}^2\))

A car travels at a constant speed of \(20 \text{ m/s}\) for \(10 \text{ s}\). What is the total distance covered by the car during this time interval?

A book rests on a horizontal table. The weight of the book acts downwards. What is the reaction force (normal force) described by Newton's Third Law in this context?

A car is traveling at a constant speed of \(15\text{ m/s}\). Calculate the distance it covers in \(10\text{ seconds}\).

A block of mass \(4\text{ kg}\) is pushed on a horizontal frictionless surface by a constant force of \(12\text{ N}\). Determine the acceleration of the block.

(a) A car of mass \( 1200 \text{ kg} \) starts from rest and accelerates uniformly to a velocity of \( 20 \text{ m/s} \) in \( 10 \text{ seconds} \). Calculate the acceleration of the car.
(b) Using your answer from part (a), calculate the resultant force required to produce this acceleration.