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
Here's how to calculate the deceleration: Step 1: Identify the coordinates of the points on the graph at t=2 seconds and t=4 seconds. At t_1 = 2 s, the speed v_1 = 8 m/s. At t_2 = 4 s, the speed v_2 = 3 m/s. Step 2: Calculate the acceleration using the formula for the gradient of a speed-time graph. Acceleration a = change in speedchange in time a = (v_2 - v_1)/(t_2 - t_1) Step 3: Substitute the values into the formula and calculate the acceleration. a = 3\, m/s - 8\, m/s4\, s - 2\, s a = -5\, m/s2\, s a = -2.5\, m/s^2 Step 4: State the deceleration. Deceleration is the positive value of the negative acceleration. The acceleration is -2.5\, m/s^2, so the deceleration is 2.5\, m/s^2. The deceleration of the car between t=2 and t=4 is 2.5\, m/s^2 That's 2 down. 3 left today — send the next one.