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 velocity function. The velocity of the particle is given by the function v(t) = 20t - 5t^2. Step 2: Recall the relationship between velocity and acceleration. Acceleration a(t) is the first derivative of the velocity function v(t) with respect to time t. a(t) = (dv)/(dt) Step 3: Differentiate the velocity function. Differentiate v(t) = 20t - 5t^2 with respect to t: a(t) = (d)/(dt)(20t - 5t^2) a(t) = (d)/(dt)(20t) - (d)/(dt)(5t^2) a(t) = 20(1) - 5(2t) a(t) = 20 - 10t Step 4: Compare the result with the given options. The calculated acceleration is a(t) = 20 - 10t. This matches option (E). The final answer is E) 20 - 10t. Send me the next one 📸