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
Hey Ignatius, good to see you again. Here's the solution for question 4: Given the velocity v = 5t^2 - 10t. a) Find the instant when velocity is zero. Step 1: Set the velocity equation to zero. v = 5t^2 - 10t = 0 Step 2: Factor out 5t. 5t(t - 2) = 0 Step 3: Solve for t. This gives two possible values for t: 5t = 0 t = 0 s t - 2 = 0 t = 2 s The velocity is zero at t = 0 s or 2 s. b) Find the instant when acceleration is zero. Step 1: Differentiate the velocity equation to find the acceleration a. The acceleration a is given by a = (dv)/(dt). a = (d)/(dt)(5t^2 - 10t) a = 10t - 10 Step 2: Set the acceleration equation to zero. 10t - 10 = 0 Step 3: Solve for t. 10t = 10 t = (10)/(10) t = 1 s The acceleration is zero at t = 1 s. Send me the next one 📸