Question:
In projectile motion the modulus of rate of change of speed
In projectile motion the modulus of rate of change of speed
Updated On: Jul 25, 2023
- is constant
- First increases then decreases
- First decreases then increases
- increases continuously
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The Correct Option is A
Solution and Explanation
We know that speed at any instant is the magnitude of instantaneous velocity.
And, the modulus of rate of change of speed is equal to modulus of rate of change of velocity.
In projectile motion, rate of change of velocity that is acceleration is $\vec{a}=$ $- g \hat{ j }=-10 \hat{ j } m / s ^{2}$ that is downward
Hence the modulus of rate of change of speed is $10 m / s ^{2}=$ constant
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration