Question:
A stone is thrown with an initial speed of $4.9\, m / s$ from a bridge in vertically upward direction. It falls down in water after $2\, \sec$. The height of bridge is
A stone is thrown with an initial speed of $4.9\, m / s$ from a bridge in vertically upward direction. It falls down in water after $2\, \sec$. The height of bridge is
Updated On: Jun 7, 2022
- 24.7 m
- 19.8 m
- 9.8 m
- 4.9 m
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The Correct Option is C
Solution and Explanation
Here: Initial velocity $u=-4.9\, m / s$ (-ve is due to vertically upward motion)
Total time $t=2\, \sec$
The height of the bridge is given by
$s =u t+\frac{1}{2} g t^{2}$
$=-4.9 \times 2+\frac{1}{2} \times 9.8 \times(2)^{2}$
$=-9.8+19.6=9.8\, m$
Total time $t=2\, \sec$
The height of the bridge is given by
$s =u t+\frac{1}{2} g t^{2}$
$=-4.9 \times 2+\frac{1}{2} \times 9.8 \times(2)^{2}$
$=-9.8+19.6=9.8\, m$
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.