A stone is projected upward at an angel of 30degree to the horizontal from the top of the tower of height 100m and it heat the ground at a point q,if the initial velocity of projection is 100m per second . calculate the following; maximum height of the stone above the ground, time it takes to reach the height ,time of flight , range covered

vertical distance is y = 100 + 100 sin30° t - 4.9t^2

horizontal distance is x = 100 cos30° t
so find the vertex of the parabola for max height and time to get there
then use that t to get the distance to q

Did you know?

Did you know that the trajectory of a projected stone can be determined using basic kinematic equations? In the given scenario, a stone is launched upwards at an angle of 30 degrees from the top of a tower with a height of 100m. If the initial velocity of projection is 100m/s, we can calculate various details of its motion. Firstly, we can determine the maximum height reached by the stone above the ground. By utilizing the equation for vertical motion, we find that the maximum height can be calculated as H = (V^2sin^2θ) / 2g, where V is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity. Plugging in the given values, we can find the maximum height. Next, we can calculate the time it takes for the stone to reach this maximum height. Using the equation for vertical motion, t = Vsinθ / g, we can substitute the values and determine the time taken for ascent. Additionally, the time of flight of the stone can be determined. The time of flight is the total time from the stone's projection until it hits the ground. Using the horizontal equation of motion, t = (2Vsinθ) / g, and substituting the given values, we can calculate the time of flight. Finally, we can find the range covered by the stone, which is the horizontal distance it travels. Using the horizontal equation of motion, R = V^2sin(2θ) / g, we can substitute the given values to find the range. By utilizing these simple kinematic equations, we can calculate the maximum height, time taken to reach the height, time of flight, and the range covered by the stone during its projectile motion.