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. Initial velocity, u = 10 m/s Final velocity, v = 15 m/s Distance covered, s = 25 m Step 2: Choose the appropriate kinematic equation. We need to find the acceleration (a). The kinematic equation that relates initial velocity, final velocity, acceleration, and distance is: v^2 = u^2 + 2as Step 3: Substitute the values into the equation. (15 m/s)^2 = (10 m/s)^2 + 2 × a × (25 m) 225 m^2/s^2 = 100 m^2/s^2 + 50a m Step 4: Solve for acceleration (a). Subtract 100 m^2/s^2 from both sides: 225 m^2/s^2 - 100 m^2/s^2 = 50a m 125 m^2/s^2 = 50a m Divide by 50 m: a = 125 m^2/s^250 m a = (125)/(50) m/s^2 a = 2.5 m/s^2 Step 5: Compare with the given options. The calculated acceleration is 2.5 m/s^2, which corresponds to option (c). The magnitude of the acceleration of the bird is c) 2.5 m/s^2.