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A body, starting from rest, falls from a building and reaches the ground in 2 secs. What will be the velocity of the body when it reaches the ground? (Acceleration due to gravity = 10msтИТ2)
5 m/s
20 m/s
10 m/s
15 m/s
20 m/s
To find the final velocity of an object in free fall, we use the first equation of motion. Since the object starts from rest, the initial velocity is zero, and it accelerates uniformly due to gravity.
To find the final velocity of an object in free fall, we use the first equation of motion. Since the object starts from rest, the initial velocity is zero, and it accelerates uniformly due to gravity.
If you drop a ball, gravity acts like a 'speed booster' that adds 10m/s to the ball's velocity for every second it falls, starting from standstill.
Remember 'v-u-a-t' for the linear motion equation: Final velocity = Initial velocity + (Acceleration ├Ч time).
v=u+at тАФ First equation of motion
v=gt тАФ Simplified formula for objects starting from rest under gravity
According to the equations of motion for uniform acceleration, the final velocity v is given by v=u+at. Here, the initial velocity u=0, acceleration a=g=10msтИТ2, and time t=2s. Plugging these values into the equation gives v=0+(10msтИТ2├Ч2s)=20msтИТ1.
Starting from rest implies an initial velocity (u) of 0msтИТ1.
Acceleration due to gravity (g) is treated as a positive value when the motion is downward.
The final velocity of a freely falling body depends linearly on time.
Simple linear calculation without needing to know the height of the building.
This model assumes air resistance is negligible.
Calculating impact speed for falling objects.
Kinematics problems in physics competitive exams.
The acceleration due to gravity on Earth is approximately 9.8msтИТ2, but often rounded to 10msтИТ2 for calculation convenience in exams.
Wrong options explanation: Options A (5msтИТ1), C (10msтИТ1), and D (15msтИТ1) do not satisfy the equation v=gt for t=2 and g=10.
B is correct тАФ Using the equation v=u+at with u=0,a=10,t=2, the final velocity is 20msтИТ1.
Always verify if the body starts from rest (u=0) or has an initial projection velocity (uюАа=0) before applying kinematic equations.
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