Question

velocity of object v=√25-8x find inital velocity and acceleration​

Answer 1

Answer:

a= v-u/t that we can find.

Answer 2

The initial velocity of the object is equal to 5 ms⁻¹ and the acceleration is equal to -4 ms⁻².

Given:

Velocity of Object (v) = √(25-8x)

To Find:

The initial velocity (u) and the acceleration (a).

Solution

Let the initial velocity be 'u' and the acceleration be 'a'.

→ We would first simplify the given equation:

 $v=\sqrt{25-8x} \\\\v^{2} =25-8x-Eq.(i)\\\\Now\:comparing\:the\:Eq.(i)\:with\:3rd\:Equation\:of\:Motion,\:that\:is\:v^{2} =u^{2} +2aS$

→ We get:

∵ u² = 25                              ∵ 2a = -8

∴ u = 5 ms⁻¹                          ∴ a = -4 ms⁻² (Negative sign means retardation)

Hence the initial velocity of the object is equal to 5 ms⁻¹ and the acceleration is equal to -4 ms⁻² (case of retardation).

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