Space, Time and Motion

A ball is thrown vertically upwards with an initial velocity of $20\text{ m s}^{-1}$. Ignoring air resistance, what is the velocity of the ball at the highest point of its trajectory?

A car starts from rest and accelerates at a constant rate of $2.5\text{ m s}^{-2}$. What is the distance traveled by the car after $4.0\text{ s}$?

Which physical quantity is represented by the gradient (slope) of a displacement-time ($s-t$) graph?

A rubber ball of mass $0.10\text{ kg}$ is dropped onto a floor. It hits the floor with a speed of $5.0\text{ m s}^{-1}$ and rebounds vertically with a speed of $4.0\text{ m s}^{-1}$. What is the magnitude of the impulse exerted by the floor on the ball?

A book rests on a horizontal table. According to Newton's Third Law, if the 'action' is the gravitational force of the Earth pulling the book downwards, what is the 'reaction' force?

Two objects, X and Y, have masses $m$ and $3m$ respectively. Object X moves with a speed of $3v$ and object Y moves with a speed of $v$. Which of the following statements correctly compares their momenta?

In physics, several quantities are used to describe motion and energy. Which of the following is a scalar quantity?

A crane lifts a load of $1000\text{ N}$ vertically through a height of $10\text{ m}$ in a time of $20\text{ s}$. What is the average power delivered by the crane?

An object of mass $2.0\text{ kg}$ is moving with a constant speed of $5.0\text{ m s}^{-1}$. What is the kinetic energy of the object?

A constant torque of $12.0\text{ N} \cdot \text{m}$ is applied to a flywheel. If the flywheel rotates through an angle of $10.0\text{ radians}$, how much work is done on the flywheel?

A point on the rim of a rotating wheel of radius $0.50\text{ m}$ has a linear speed of $4.0\text{ m} \cdot \text{s}^{-1}$. What is the angular velocity of the wheel?

A force of $20.0\text{ N}$ is applied to a wrench at a distance of $0.25\text{ m}$ from the center of a bolt. If the force is applied at an angle of $30^{\circ}$ to the handle of the wrench, what is the magnitude of the torque applied?

In classical Galilean relativity, which of the following quantities is considered an invariant (does not change) between different inertial frames?

In the context of the Lorentz transformations, what happens to the Lorentz factor $\gamma$ as the relative velocity $v$ between two frames approaches the speed of light $c$?

Which of the following is one of the two fundamental postulates of Einstein's Special Theory of Relativity?

What is the term used to describe the path an object takes through the four dimensions of space-time?

Which of the following describes an 'event' in the context of a space-time diagram?

In a space-time diagram where the $ct$-axis is vertical and the $x$-axis is horizontal, what is the gradient (slope) of the worldline of a light pulse?