A body moving with initial velocity u accelerates until it attains velocity v within time t. The distance covered is given by which expression?

Physics
A body moving with initial velocity u accelerates until it attains velocity v within time t. The distance covered is given by which expression?

ScanSolve AI Answer

Answer

6.0 ms1\text{6.0 ms}^{-1}

Step 1: Identify the given values. The body starts from rest, so the initial velocity is u=0ms1u = 0 ms^{-1}. The acceleration is a=2ms2a = 2 ms^{-2}. The distance travelled is s=9 ms = 9 \text{ m}. We need to find the final velocity vv.

Step 2: Choose the appropriate kinematic equation. The kinematic equation that relates initial velocity (uu), final velocity (vv), acceleration (aa), and displacement (ss) is: v2=u2+2asv^2 = u^2 + 2as

Step 3: Substitute the given values into the equation. v2=(0ms1)2+2(2ms2)(9m)v^2 = (0 ms^{-1})^2 + 2(2 ms^{-2})(9 m) v2=0+36m2s2v^2 = 0 + 36 m^2s^{-2} v2=36m2s2v^2 = 36 m^2s^{-2}

Step 4: Solve for vv. v=36m2s2v = \sqrt{36 m^2s^{-2}} v=6ms1v = 6 ms^{-1}

The magnitude of its velocity after travelling 9 m9 \text{ m} is 6.0ms1\boxed{6.0 ms^{-1}}.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Still have questions?

Quick Answer

Identify the given values. The body starts from rest, so the initial velocity is u = 0 ms^-1.

A body moving with initial velocity u accelerates until it attains velocity v within time t. The distance covered is given by which expression?
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Identify the given values. The body starts from rest, so the initial velocity is u = 0 ms^-1. The acceleration is a = 2 ms^-2. The distance travelled is s = 9 m. We need to find the final velocity v. Step 2: Choose the appropriate kinematic equation. The kinematic equation that relates initial velocity (u), final velocity (v), acceleration (a), and displacement (s) is: v^2 = u^2 + 2as Step 3: Substitute the given values into the equation. v^2 = (0 ms^-1)^2 + 2(2 ms^-2)(9 m) v^2 = 0 + 36 m^2s^-2 v^2 = 36 m^2s^-2 Step 4: Solve for v. v = sqrt(36 m)^2s^-2 v = 6 ms^-1 The magnitude of its velocity after travelling 9 m is 6.0 ms^-1.