I answered this already. Should you multiply the answer in letter b to 2?
QUESTION:
Phil Younghusband is a sensational striker of the Philippines National Football team Azkals. An avid fan of his claims that Phil can kick the football and give it an initial speed of 50 m/s. If the ball leaves the ground at an angle of 25 degrees and ignoring air resistance, calculate:
(a) the horizontal distance the ball travels before landing on the filed.
(b) the total time the ball is in the air.
(c) the velocity of the ball (magnitude & direction) of the ball at its maximum height.
(d) the acceleration (magnitude and direction) of the ball at its maximum height.
I think I know what you mean.
If you calculated the time until the ball reached maximum height and called that time t, then the total time in the air is 2t by symmetry
To calculate the answers to the given questions, we will need to break down the problem into different components and use the formulae of projectile motion.
(a) To find the horizontal distance the ball travels before landing on the field, we can use the equation:
Range = (Initial Velocity * Time of Flight * Cos(θ))
Here, the initial velocity of the ball is 50 m/s, and the angle of projection is 25 degrees. We don't have the time of flight yet, so we need to find that first.
(b) To calculate the total time the ball is in the air, we can use the equation:
Time of Flight = (2 * (Initial Velocity * Sin(θ)) / acceleration due to gravity)
Acceleration due to gravity is often given as -9.8 m/s^2.
(c) To determine the velocity (magnitude and direction) of the ball at its maximum height, we can use the formula:
Vertical Velocity at Maximum Height = (Initial Velocity * Sin(θ))
The magnitude of the velocity will be the absolute value of that, and the direction will depend on the sign (positive or negative).
(d) The acceleration (magnitude and direction) of the ball at its maximum height will be equal to the acceleration due to gravity in the vertical direction, i.e., -9.8 m/s^2.
By calculating the values using the given formulas and the given initial conditions, we will be able to find the answers to the questions.
Remember to convert the angles to radians if the formulas require it.