Question

A snail is at rest . It accelerates at a rate of 0.00075 m/S2 . Calculate the time it takes to reach a speed of 0.0135 m/s.

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Time\:taken=18\:sec}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Acceleration(a) = 0.00075 { \: m/s}^{2} \\ \\ \tt: \implies final \: velocity(v) = 0.0135 \: m/s \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Time \: taken(t) =?$

• According to given question :

$\tt \circ \: Initial \: velocity = 0 \: m/s \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies v = u + at \\ \\ \tt: \implies 0.0135 = 0 + 0.00075 \times t \\ \\ \tt: \implies 0.0135 = 0.00075 \times t \\ \\ \tt: \implies t = \frac{0.0135}{0.00075} \\ \\ \tt: \implies t = \frac{1350}{75} \\ \\ \green{\tt: \implies t = 18 \: sec}\\\\ \blue{\bold{Some\:related\:formula}}\\\orange{\tt\circ\:v^{2}=u^{2}+2as}\\\\\orange{\tt\circ\:s=ut+\frac{1}{2}at^{2}}$

Answer 2

ANSWER:

Given

• Acceleration = 0.00075 m/s²
• Final velocity = 0.0135 m/s
• Initial velocity = 0 m/s

Using formula :

♦ v = u + at

where

• v : final velocity
• u : initial velocity
• t : time
• a : acceleration

Simplifying the formula

♦ t = v - u/a

→ t = 0.0135 - 0/0.00075

→ t = 1350/75

→ t = 18s

Hence, time taken = 18s