Exploring Motion in a Plane

What is the formula for the range of a projectile?

• R = (v^2 * sin(θ)) / g

• R = (v^2 * cos(θ)) / g

• R = (v * sin(θ)) / g

• R = (v^2 * sin(2θ)) / g

How does the angle of projection affect the range of a projectile?

• Higher angles always result in a longer range.

• The angle of projection has no effect on the range.

• The angle of projection affects the range by maximizing it at 45 degrees.

• The range is maximized at 30 degrees.

Define the term 'projectile motion'.

• The linear motion of an object without any external forces.

• The circular motion of an object around a fixed point.

• Projectile motion is the motion of an object projected into the air, influenced by gravity, following a curved trajectory.

• The motion of an object at rest due to friction.

What is the maximum height reached by a projectile?

• H = (v^2 * cos^2(θ)) / (2 * g)

• H = (v^2 * sin(θ)) / g

• H = (v * sin(θ)) / g

• H = (v^2 * sin^2(θ)) / (2 * g)

Explain the concept of relative motion with an example.

• Relative motion is the same as absolute motion.

• Relative motion only applies to objects in space.

• Relative motion means all objects move at the same speed.

• Relative motion is the concept that the motion of an object can be observed differently depending on the observer's frame of reference.

If two objects are moving towards each other, how do you calculate their relative velocity?

• Relative velocity is the sum of the velocities of both objects.

• Relative velocity is the product of the velocities of both objects.

• Relative velocity is the average of the velocities of both objects.

• Relative velocity is the difference of the velocities of both objects.

What is the effect of air resistance on projectile motion?

• Air resistance has no effect on the trajectory of a projectile.

• Air resistance only affects the weight of the projectile.

• Air resistance increases the speed of a projectile.

• Air resistance decreases the range and alters the trajectory of a projectile.

Describe the trajectory of a projectile in motion.

• The trajectory of a projectile is a zigzag path determined by wind direction.

• The trajectory of a projectile is a parabolic path influenced by initial velocity and gravity.

• The trajectory of a projectile is a straight line due to constant speed.

• The trajectory of a projectile is circular and unaffected by gravity.

How does gravity affect the motion of a projectile?

• Gravity has no effect on a projectile's motion.

• Gravity only affects the speed of a projectile, not its path.

• Gravity causes a projectile to follow a parabolic trajectory, accelerating it downward.

• Gravity causes a projectile to move in a straight line.

What is the difference between scalar and vector quantities in motion?

• Scalar quantities have magnitude only; vector quantities have both magnitude and direction.

• Scalar quantities can be negative; vector quantities cannot.

• Scalar quantities are always larger than vector quantities.

• Scalar quantities have direction only; vector quantities have magnitude and speed.