Question

S=ut+1/2at^2 find s when u=20,t= 15 and a= 2

Answer 1

Answer:

s = 525

Step-by-step explanation:

Here's the required formula to find the displacement (s).

$\longrightarrow{\pmb{\sf{s = ut + \dfrac{1}{2}a{t}^{2}}}}$

• ↝ s = distance
• ↝ u = initial velocity
• ↝ a = acceleration
• ↝ t = time taken

Substituting all the given values in the formula to find the displacement (s).

${\longrightarrow{\sf{s = ut + \dfrac{1}{2}a{t}^{2}}}}$

${\longrightarrow{\sf{s = 20 \times 15+ \dfrac{1}{2} \times 2{(15)}^{2}}}}$

${\longrightarrow{\sf{s = 300+ \dfrac{1}{2} \times 2{(15 \times 15)}}}}$

${\longrightarrow{\sf{s = 300+ \dfrac{1}{2} \times 2{(225)}}}}$

${\longrightarrow{\sf{s = 300+ \dfrac{1}{2} \times 2 \times 225}}}$

${\longrightarrow{\sf{s = 300+ \dfrac{1}{2} \times 450}}}$

${\longrightarrow{\sf{s = 300+ \dfrac{1}{\cancel{2}} \times \cancel{450}}}}$

${\longrightarrow{\sf{s = 300 + 225}}}$

${\longrightarrow{\sf{s = 525}}}$

${\longrightarrow{\underline{\boxed{\pmb{\sf{s = 525}}}}}}$

Hence, the displacement (s) is 525.

$\rule{300}{2.5}$

Answer 2

Answer:

$s=525$

Step-by-step explanation:

$s=ut+\frac{1}{2} at^2$

$s=20*15+\frac{1}{2} *2*15^{2}$

$s=300+ 225$

$s=525$