An object is launched horizontally with a speed of 8meters/second from a point 2

Question

An object is launched horizontally with a speed of 8meters/second from a point 20 meters from the ground. (a) How long will it take the object to land on theground? (b) What is the speed of the object 1 second afterlaunch? (c) What angle does the velocity make with the horizontal 1second after launch? (d) With what velocity does the object hit the ground? An object is launched horizontally with a speed of 8meters/second from a point 20 meters from the ground. (a) How long will it take the object to land on theground? (b) What is the speed of the object 1 second afterlaunch? (c) What angle does the velocity make with the horizontal 1second after launch? (d) With what velocity does the object hit the ground?

Explanation / Answer

speed v = 8 m / s height h = 20 m (a). time t = [ 2h / g ]                = 2.02 s (b). the speed of the object 1 second after launch V =[ v ^ 2 + ( gt' ) ^ 2 ]   where t ' = 1s                                                                              = [ 64 + 9.8^2 ]                                                                              = 12.65 m / s (c). Let the velocity makes an angle then tan = gt '/ v                                                                         = 9.8 / 8                                                                      = 50.77 degrees (d). Velocity V ' = [v ^ 2 + (gt)^2 ]                         = 21.35 m / s

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