Question

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

Answer 1

`s=525`

Explanation:

`s=ut+(1)/(2) at^2`

`s=20*15+(1)/(2) *2*15^(2)`

`s=300+ 225`

`s=525`

Answer 2

s = 525

Step-by-step explanation:

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

`\longrightarrow{\pmb{\sf{s = ut + (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 + (1)/(2)a{t}^(2)}}}`

`{\longrightarrow{\sf{s = 20 * 15+ (1)/(2) * 2{(15)}^(2)}}}`

`{\longrightarrow{\sf{s = 300+ (1)/(2) * 2{(15 * 15)}}}}`

`{\longrightarrow{\sf{s = 300+ (1)/(2) * 2{(225)}}}}`

`{\longrightarrow{\sf{s = 300+ (1)/(2) * 2 * 225}}}`

`{\longrightarrow{\sf{s = 300+ (1)/(2) * 450}}}`

`{\longrightarrow{\sf{s = 300+ \frac{1}{\cancel{2}} * \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}`