ahmed throws a ball at initial velocity of 36 meter per second.assuming the ball is caught at the same height at which it was released. calculate the maximum distance the ball can reach.
a football thrown at 45o has max range:
Range = Vo^2*sin(2A)/g=36^2*sin(90)/9.8 = 132.2 m.
U Coll out answer please
Ahmed throws a ball at an initial velocity of 25m/s.calculate the maximum distance the ball can reach assuming the ball is caught at the same height at which it was released.
To calculate the maximum distance the ball can reach, we need to consider the motion of the ball and the factors affecting it.
To begin, let's assume that the ball undergoes projectile motion, neglecting air resistance. Projectile motion is a combination of horizontal and vertical motion.
The horizontal motion of the ball is constant, as there is no external force acting horizontally on it. Therefore, the initial horizontal velocity will remain constant throughout the motion.
In this case, the horizontal motion does not affect the maximum distance the ball can reach because the ball is caught at the same height at which it was released. So, we can focus on the vertical motion.
The vertical motion of the ball is affected by the acceleration due to gravity, which is approximately 9.8 m/s² and acts downwards.
Now, to find the maximum distance, we need to calculate the time it takes for the ball to reach its highest point. At the highest point, the vertical velocity becomes zero before the ball starts to fall.
Using the formula for vertical motion with constant acceleration:
v final = v initial + (acceleration × time)
0 = 36 m/s - (9.8 m/s² × t)
Solving this equation, we find:
t = 36 m/s ÷ 9.8 m/s² = 3.67 seconds
We divide this time by 2 to find the time taken to reach the maximum height:
t/2 = 3.67 seconds ÷ 2 = 1.83 seconds
Now, we can calculate the maximum height the ball reaches using the formula:
h = v initial × t/2 - (0.5 × acceleration × t/2)²
h = 36 m/s × 1.83 s - (0.5 × 9.8 m/s² × 1.83 s)²
h = 66.12 m - 32.11 m
h ≈ 34.01 meters
So, the maximum distance the ball can reach is 34.01 meters, assuming no air resistance and being caught at the same height it was released.