Ao bater um tiro de meta, um goleiro imprime à bola uma velocidade de módulo V 0 = 30 m/s inclinada de um ângulo α com a horizontal, tal que sen α = 0,8 e cos α = 0,6. Admita que no local a resistência do ar seja desprezível e adote g = 10 m/s 2 . Supondo que a bola retorne ao solo sem ser interceptada por qualquer jogador, determine: a) a altura máxima (H) atingida por ela; b) a velocidade da bola no ápice do vôo; c) o seu tempo total de vôo ; d) o seu alcance horizontal.

The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ? t ? 8. (a) when is the position function decreasing? (round you

Bernie drove home from a vacation in 1.5 hours. he traveled a total distance of 60 miles. what was his average speed in miles per hour? a. 60 mph b. 90 mph c. 40 mph d. 55mph

Electric field of the earth. the earth has a net electric charge that causes a field at points near its surface equal to 150 n> c and directed in toward the center of the earth. (a) what magnitude and sign of charge would a 60-kg human have to acquire to overcome his or her weight by the force exerted by the earth’s electric field? (b) what would be the force of repulsion between two people each with the charge calculated in part (a) and separated by a distance of 100 m? is use of the earth’s electric field a feasible means of flight? why or why not?