Projectile Motion and Angles

The video tutorial covers the projectile motion of a stone fired at a 45-degree angle with an initial speed of 10 m/s. It explains the derivation of equations of motion, the elimination of the time parameter to find the equation of the path, and the use of quadratic theory to determine the range and maximum height. The tutorial also explores scenarios where the stone impacts a wall and a ceiling, calculating the points of impact and angles of inclination.

What is the initial speed of the stone when it is fired?

• 15 m/s

• 10 m/s

• 5 m/s

• 20 m/s

At what angle is the stone fired?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

What is the value of gravitational acceleration used in the calculations?

• -9.5 m/s²

• -10.5 m/s²

• -9.8 m/s²

• -10 m/s²

How is the range of the stone determined using quadratic theory?

• By finding the maximum height

• By calculating the time of flight

• By determining the distance between the roots

• By using the initial velocity

What is the maximum height reached by the stone?

• 1.5 meters

• 2.0 meters

• 2.5 meters

• 3.0 meters

How far up the wall does the stone hit when it is 8 meters away?

• 1.6 meters

• 1.2 meters

• 1.8 meters

• 1.4 meters

What is the angle of inclination when the stone hits the wall?

• tan inverse of -4/5

• tan inverse of -5/5

• tan inverse of -3/5

• tan inverse of -2/5

What is the height of the ceiling that the stone hits?

• 2.3 meters

• 2.0 meters

• 2.1 meters

• 2.2 meters

What is the horizontal distance traveled by the stone before hitting the ceiling?

• 5 meters

• 2 meters

• 3 meters

• 4 meters

What is the angle at which the stone hits the ceiling?

• tan inverse of -3/5

• tan inverse of -2/5

• tan inverse of -4/5

• tan inverse of -1/5