A kicked football
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Exercise:
A football is kicked at an angle theta_.grad with a velocity of pq.. Calculate abcliste abc the maximum height abc the time before the football hits the ground abc how far away it hits the ground. abcliste
Solution:
abcliste abc The maximum height the football reaches is h_mathrmmax fracv_^g sin^alpha fracpq.^ pq.q sin^.grad pq.m. abc The time of flight is derived by solving the following : &mustbe -fracgt^ + v_y t -fracgt^ + v_ sinalpha t underbracfrac pq.q_a t^ + underbracepq. sin.grad_b t. This quadratic has the solutions t_pqs and t_pq.s. The first solution is the time at the ning and the second is the one we are looking for. abc The maximum width is s_x fracv_^g sinalpha fracpq.^pq.q sin.grad pq.m. abcliste
A football is kicked at an angle theta_.grad with a velocity of pq.. Calculate abcliste abc the maximum height abc the time before the football hits the ground abc how far away it hits the ground. abcliste
Solution:
abcliste abc The maximum height the football reaches is h_mathrmmax fracv_^g sin^alpha fracpq.^ pq.q sin^.grad pq.m. abc The time of flight is derived by solving the following : &mustbe -fracgt^ + v_y t -fracgt^ + v_ sinalpha t underbracfrac pq.q_a t^ + underbracepq. sin.grad_b t. This quadratic has the solutions t_pqs and t_pq.s. The first solution is the time at the ning and the second is the one we are looking for. abc The maximum width is s_x fracv_^g sinalpha fracpq.^pq.q sin.grad pq.m. abcliste