Question

A particle has an initial velocity of and an acceleration of . Speed of particle at t = 1 s (in m/s) will be

Answer 1

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A particle has an initial velocity of 3i + 4j and an acceleration of 0.4i + 0.3j. What is the speed after 10s?

Initial Velocity is the velocity at which motion begins. It is the velocity at time interval t = 0. It is commonly denoted by u.

The initial Velocity formula is used to find the initial velocity of the body if some of the quantities (like acceleration and time interval) are known. Initial velocity is expressed in meter per second (m/s). The initial velocity is given by

u = v - at

Where, v = Final Velocity, t = time taken, and a = acceleration

u = 3 i + 4 j

a = 0.4 i + 0.3 j

t = 10 s

Using initial velocity formula

3 i + 4 j = v - (0.4 i + 0.3 j) 10

v = 7 ( i + j)

Velocity is the vector quantity that is defined by both magnitude and direction but speed is a scalar quantity that is defined by the only magnitude.

The magnitude of v = ( 72+72)1/2=7∗(2)1/2

So the value of speed is 7∗(2)1/2