Question

iii. What will be the displacement of the body at (a) t = 35 (b) t = 75

Answer 1

Answer:

By third equation of motion:

$\boxed{\sf{s=ut+\dfrac{1}{2}\times \ at^{2}}}$

Here,

1. Displacement is denoted by s
2. Initial velocity is denoted by u
3. Acceleration is denoted by a
4. Time is denoted by t

(a) t=35

$\sf{s=u(35)+\dfrac{1}{2}\times \ a(35)^{2}}$

$\sf{\therefore{s=35u+\dfrac{1}{2}\times1225a}}$

$\sf{\longmapsto{therefore{s=35(u+17.5a)}}}$

(b) t=75

$\sf{s=u(75)+\dfrac{1}{2}\times \ a(75)^{2}}$

$\sf{\therefore{s=75u+\dfrac{1}{2}\times5625a}}$

$\sf{\longmapsto{\therefore{s=75(u+37.5a)}}}$

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Extra information:

Equations of motion:

$\sf{1. \ v=u+at}$

$\sf{2. \ s=ut+\dfrac{1}{2}\times \ at^{2}}$

$\sf{3. \ v^{2}=u^{2}+2as}$