An arrow is shot horizontally with a speed of 20 m / s from the top of a tower 60 m high. The

step 1 All right, so we've got an arrow shooting horizontally with an initial speed of 20 meters per se

An arrow is shot horizontally with a speed of 20 m / s from...

An arrow is shot horizontally with a speed of $20 \mathrm{~m} / \mathrm{s}$ from the top of a tower $60 \mathrm{~m}$ high. The time to reach the ground will be
a) $8.9 \mathrm{~s}$
c) $3.5 \mathrm{~s}$
e) $1.0 \mathrm{~s}$
b) $7.1 \mathrm{~s}$
d) $2.6 \mathrm{~s}$

Key Concepts

Projectile Motion

Projectile motion refers to the motion of an object that is launched into the air and then moves under the influence of gravity alone, neglecting air resistance. This concept involves the study of how an object's horizontal and vertical motions are independent of each other, though they occur simultaneously, leading to a parabolic trajectory.

Independence of Horizontal and Vertical Motion

This concept explains that in the absence of air resistance, the horizontal component of a projectile's velocity remains constant while the vertical component is influenced solely by gravitational acceleration. This separation allows us to analyze the vertical and horizontal motions independently using appropriate kinematics in each direction.

Free Fall Kinematics

Free fall kinematics deals with the motion of objects falling under the influence of gravity with an initial vertical velocity of zero (when launched horizontally). The equations of motion for free fall, such as the displacement equation y = (1/2)gt², enable the calculation of the time it takes for an object to drop from a certain height.

Gravitational Acceleration

Gravitational acceleration is the rate at which objects accelerate toward the Earth due to gravity, commonly approximated as 9.8 m/s². This constant value is used to determine the vertical component of motion in problems involving free fall, including the time required for an object to reach the ground from a given height.

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