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A ball is dropped from a height of 39.0 m. The wind is blowing horizontally and imparts a constant acceleration of 1.20 m/s 2 to the ball. (a) Show that the path of the ball is a straight line and find the values of Rand θ in Fig. (b) How long does it take for the ball to reach the ground? (c) With what speed does the ball hit the ground?

A ball is dropped from a height of 39.0 m. The wind is blowing horizontally and imparts a constant acceleration of 1.20 m/s2 to the ball. (a) Show that the path of the ball is a straight line and find the values of Rand θ in Fig. (b) How long does it take for the ball to reach the ground? (c) With what speed does the ball hit the ground?

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
8 years ago
236-1185_1.PNG
Comparing the components two equation can be obtained
236-1179_1.PNG
This is an equation of straight line passing through origin, which in this case is at the point from which the ball was dropped.

236-2237_1.PNG
Therefore, the range of the ball is 4.78 m .
236-1147_1.PNG
Therefore, the length of the hypotenuse is 39. m .
236-31_1.PNG
Therefore, the time of flight of ball is 2.82 s .
236-276_1.PNG
Therefore, the speed of the ball at the bottom is 27.8 m/s .

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