Projectile Motion Quiz Questions With Answers

Gravity is the force that acts in the y direction and causes an object to travel in a parabolic arc. This is because gravity pulls objects downwards towards the center of the Earth, causing them to follow a curved path. As the object is launched upwards, gravity slows down its vertical velocity until it reaches its maximum height, then it accelerates it downwards, resulting in a parabolic trajectory. Tension and friction do not act in the y direction, and no force would result in a straight line motion, not a parabolic arc.

The man should shoot the arrow at a 45-degree angle in order to achieve the greatest range. This is because when an object is launched at an angle of 45 degrees, it will have the maximum horizontal distance traveled due to the combination of its initial velocity and the force of gravity. At any other angle, the vertical component of the velocity would be greater, causing the object to spend more time in the air and reducing its horizontal distance.

When the stone is dropped from the bridge, its initial velocity is zero. As it falls, it accelerates due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2. After 3 seconds, the stone would have been accelerating for 3 seconds, reaching a velocity of 9.8 m/s^2 * 3 s = 29.4 m/s. Since the stone is traveling downwards, the speed is positive, so the stone is traveling approximately 30 m/s when it strikes the water.

A 45-degree angle would result in the ball traveling the longest distance. This is because at this angle, the ball is launched with a combination of vertical and horizontal velocities that maximize the range. At angles smaller than 45 degrees, the vertical velocity component increases, causing the ball to spend more time in the air and reducing the horizontal distance traveled. At angles larger than 45 degrees, the horizontal velocity component decreases, resulting in a shorter range. Therefore, a 45-degree angle provides the optimal balance between vertical and horizontal velocities for maximum distance.

When a ball is projected horizontally, its initial vertical velocity is 0. This is because the ball is only moving horizontally and not vertically. The initial velocity in the vertical direction is determined by the force applied in that direction, and since the ball is projected horizontally, there is no force acting vertically. Therefore, the initial vertical velocity is 0.

When a golf ball is hit with more force at the same angle, its initial acceleration will increase. This is because force and acceleration are directly proportional according to Newton's second law of motion. When the force applied to an object increases, its acceleration also increases. Therefore, hitting the golf ball with more force will result in a higher initial acceleration.

The correct answer is the 30° angle because the ball goes further. When a ball is kicked at an angle, its horizontal and vertical components of velocity determine its trajectory. At a 30° angle, the ball has a larger horizontal velocity component compared to an 80° angle. This means that the ball will cover more horizontal distance before hitting the ground, resulting in a greater overall distance traveled. The vertical component of velocity does not affect the distance traveled, so the time spent in the air is not a determining factor in this case.

When a projectile is launched at an angle to the horizontal, its velocity can be broken down into two components: the horizontal component and the vertical component. The vertical component of velocity determines the projectile's motion in the vertical direction. In this case, the cannonball is launched at a 60-degree angle to the horizontal, which means that the vertical component of velocity can be calculated using trigonometry. The vertical component of velocity can be found by multiplying the initial velocity (100 m/s) by the sine of the launch angle (60 degrees). Applying this formula, we get: vertical velocity = 100 m/s * sin(60 degrees) = 100 m/s * 0.866 = 86.6 m/s. Therefore, the correct answer is 86.6 m/s.

The soccer ball is kicked with a horizontal speed of 21 m/s and reaches its peak at a height of 6 meters above the ground. Since there is no vertical acceleration, the time taken to reach the peak is half of the total flight time, which is 2.2 seconds. Therefore, the time taken to reach the peak is 1.1 seconds. Using the equation of motion, we can calculate the horizontal distance traveled by the ball using the formula distance = speed × time. Thus, the horizontal distance traveled by the ball is 21 m/s × 2.2 seconds = 46.2 meters.

The formula v = u + at is used to calculate the final velocity of an object when it is projected vertically upwards. In this case, the initial velocity (u) is given as 50 m/s and the time (t) is given as 2 seconds. Since the ball is projected upwards, the acceleration (a) due to gravity is -9.8 m/s^2. Plugging these values into the formula, we get v = 50 + (-9.8)(2) = 50 - 19.6 = 30.4 m/s. Therefore, the calculated velocity after 2 seconds is 30.4 m/s.

The statement "A and B hit the ground at the same time" is true because both objects are released from the same height. In the absence of any external forces, such as air resistance, objects will fall towards the ground with the same acceleration due to gravity. Therefore, both objects will take the same amount of time to reach the ground, regardless of their paths or weights.

In projectile motion, the horizontal component of motion remains constant. This is because there is no force acting horizontally on the object, so there is no acceleration in the horizontal direction. As a result, the velocity in the horizontal direction remains constant throughout the motion.

As the launch speed of the pitching machine increases, the ball's velocity also increases. This is because the launch speed directly affects the initial velocity of the ball. However, the distance the ball falls in one-second remains the same. This is because the ball is launched horizontally with no spin, so it experiences only the force of gravity pulling it downwards. The force of gravity acts vertically and does not affect the horizontal motion of the ball. Therefore, the distance the ball falls in one-second remains constant regardless of the increase in velocity.

When the cannonball is fired at an angle of 60 degrees to the horizontal, it will have two components of velocity: one in the horizontal direction and one in the vertical direction. The horizontal component of velocity remains constant throughout the motion, while the vertical component changes due to the force of gravity. At the highest point of its trajectory, the vertical component of velocity becomes zero, and the cannonball starts to fall back down. The time taken to reach the highest point can be calculated using the vertical component of velocity and the acceleration due to gravity. Using this time, the maximum height can be calculated using the equation for vertical displacement. In this case, the maximum height is 127m.