A body projected vertically up with an initial velocity v, travels 45 m in the first second of

step 1 So here let total time of flight be 2n. Total time of flight is equal to 2N. Now distance travel

A body projected vertically up with an initial velocity v,...

A body projected vertically up with an initial velocity $\mathrm{v}$, travels $45 \mathrm{~m}$ in the first second of its flight $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$ (a) Its initial velocity is $50 \mathrm{~m} \mathrm{~s}^{-1}$. (b) The maximum height it reaches is $125 \mathrm{~m}$. (c) Its time of flight is $9 \mathrm{~s}$ (d) Its time of flight is $10 \mathrm{~s}$.

A body projected vertically up with an initial velocity $\mathrm{v}$, travels $45 \mathrm{~m}$ in the first second of its flight $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$
(a) Its initial velocity is $50 \mathrm{~m} \mathrm{~s}^{-1}$.
(b) The maximum height it reaches is $125 \mathrm{~m}$.
(c) Its time of flight is $9 \mathrm{~s}$
(d) Its time of flight is $10 \mathrm{~s}$.

Key Concepts

Uniformly Accelerated Motion

This concept involves motion where the acceleration is constant in both magnitude and direction. It underpins the analysis of vertical motion under gravity, where an object experiences a constant downward acceleration, making it possible to apply specific kinematic equations.

Kinematic Equations

These mathematical formulas relate displacement, velocity, acceleration, and time in a system undergoing constant acceleration. They provide the tools needed to solve for quantities such as distance traveled in a given time, maximum height, and total time of flight in vertical projectile problems.

Projectile Motion

This refers to the motion of an object that is launched into the air and moves under the influence of gravity alone after the launch. For vertical projectile motion, all movement occurs along a single vertical line, with gravity uniformly decelerating the object until it stops and then accelerating it downward.

Maximum Height

The maximum height is reached when the vertical component of the velocity becomes zero. Calculating this height involves using kinematic equations to relate the initial velocity, acceleration due to gravity, and displacement, providing a key measure in projectile motion analysis.

Time of Flight

Time of flight is the total duration an object spends in the air from its launch until it returns to the same level. It is determined using the initial velocity and gravitational acceleration, with the complete upward and downward journeys accounted for under uniform acceleration.

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