Question

A ball is dropped from a height of 49 m. The wind is blowing horizontally. Due to wind a constant horizontal acceleration is provided to the ball. Choose the correct statement (s). [Take g= 9.8 $m{s}^{-2}$]

• A. Path of the ball is a straight line
• B. Path of the ball is a curved one
• C. The time taken by the ball to reach the ground is 3.16 s
• D. Actual distance travelled by the ball is more than 49 m

Answer 1

Answer: (A), (C), (D)

Path of the ball is a straight line
The time taken by the ball to reach the ground is 3.16 s
Actual distance travelled by the ball is more than 49 m

Vertical direction: Distance =49 m

$49=\left(1/2\right)\ast 9.8\ast t^2$

=> $t=3.16sec$

Let horizontal acceleration be $am/s^2$

$Distanc{e}_{horizontal}=0.5a{t}^2$

$Distanc{e}_{vertical}=0.5\ast 9.8t^2=4.9t^2$

We see that both the distances follow the behavior $constant\ast t^2$.

Since at any given time $t^2$ value is same for both the value of horizontal and vertical distances covered is progresses linearly with respect to each other. Hence the ball follow is straight line.

Also since there is vertical movement too, total distance traveled is more than 49 m

Answer. A, C, D.