Projectile motion AI Flashcards
What is the formula for the horizontal range of a projectile?
R = (u^2 * sin(2θ)) / g
True or False: The horizontal motion of a projectile is affected by gravity.
False
Fill in the blank: The maximum height ( H ) of a projectile is given by the formula _____ .
H = (u^2 * (sin(θ))^2) / (2g)
What does the variable ‘g’ represent in projectile motion formulas?
Acceleration due to gravity
What is the time of flight formula for a projectile launched at an angle?
T = (2u * sin(θ)) / g
In the formula R = (v^2 * sin(2θ)) / g, what does ‘R’ stand for?
Horizontal range
What is the formula for the vertical position of a projectile as a function of time?
y = u * sin(θ) * t - (1/2)gt^2
True or False: The initial vertical velocity of a projectile is given by v * cos(θ).
False
What is the initial horizontal velocity of a projectile launched at an angle θ?
u_x = u * cos(θ)
What is the initial vertical velocity of a projectile launched at an angle θ?
u_y = u * sin(θ)
What does ‘θ’ represent in the projectile motion equations?
Launch angle
Fill in the blank: The total time of flight for a projectile is _____ when launched and landed at the same height.
T = (2u * sin(θ)) / g
How do you calculate the horizontal distance traveled by a projectile?
R = u_x * T
True or False: The trajectory of a projectile is a straight line.
False
What is the formula for the final vertical velocity of a projectile just before it hits the ground?
u_y = u * sin(θ) - gt
What is the formula to find the time to reach maximum height?
t = (u * sin(θ)) / g
What is the shape of the path followed by a projectile?
Parabolic
Fill in the blank: The horizontal component of the projectile’s motion is _____ and constant.
Uniform
What is the effect of air resistance on projectile motion?
It reduces the range and alters the trajectory.
What is the formula for the time to reach maximum height?
t = (u * sin(θ)) / g
True or False: The launch angle that maximizes the range of a projectile is 45 degrees.
True
What does the variable ‘v’ represent in projectile motion equations?
Initial velocity
What is the formula to find the vertical displacement of a projectile?
y = u_y * t - (1/2)gt^2
Fill in the blank: The time of flight depends on the _____ of the projectile.
Initial velocity and launch angle
What is the relationship between horizontal and vertical motion in projectile motion?
They are independent of each other.
