Question

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Answer 1

Question

A body starting from rest travels with uniform acceleration. If it travels 100 m in 5 s, what is the value of acceleration.

Answer

Given that

Initial velocity (u) = 0 m/s (as the body is starting from rest).

Distance (s) = 100 m

Time (t) = 5 s

To find

Acceleration = ?

We can calculate the acceleration by using the following formulae,

(i) v = u + at

(ii) s = ut + $\frac{1}{2}$ at²

(iii) 2as = v² - u²

But we can also calculate the acceleration by using second equation of motion.

By usin' second equation of motion,

s = ut + $\frac{1}{2}$ at²

100 m = $0 \times 5 + \frac{1}{2} \times a \times 5 \times 5$

100 m = $0 + \frac{1}{2} \times 25 \times a$

100 m = $\frac{1}{2} \times 25 \times a$

100 m = $\frac{1}{\cancel{2}} \times \cancel{25} \times a$

100 m = 12.5a

$\frac{100}{12.5}$ = a

$\frac{\cancel{100}}{\cancel{12.5}}$ = a

8 = a

∴  a = 8 m/s²

$\boxed{\boxed{\pink{\huge{a = 8\:m/s^2}}}}$