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.
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Here are the solutions to the physics problems: 4.1 A truck starts from rest and reaches a velocity of 12 m·s^-1 in 3 seconds. Calculate the acceleration of the truck if the original direction of motion is eastwards. v_i = 0 m·s^-1 t = 3 s v_f = 12 m·s^-1 Step 1: Write the formula for acceleration. a = (v_f - v_i)/( t) Step 2: Substitute the given values into the formula. a = 12 m·s^-1 - 0 m·s^-13 s Step 3: Calculate the acceleration. a = 12 m·s^-13 s a = 4 m·s^-2 East 4.2 An object that moves at 12 m·s^-1 north reaches a velocity of 53 m·s^-1 after 5 seconds. Calculate the acceleration of the object. v_i = 12 m·s^-1 t = 5 s v_f = 53 m·s^-1 Step 1: Write the formula for acceleration. a = (v_f - v_i)/( t) Step 2: Substitute the given values into the formula. a = 53 m·s^-1 - 12 m·s^-15 s Step 3: Calculate the acceleration. a = 41 m·s^-15 s a = 8.2 m·s^-2 North 4.3 What is the meaning of your answer in Question 3.1? I cannot answer this question as Question 3.1 is not provided in the image or previous context. 5.1 A train rides at 28 m·s^-1 in an easterly direction on a straight track after which it brakes for 5 s and reaches a velocity of 15 m·s^-1. Calculate the train's acceleration. v_i = 28 m·s^-1 t = 5 s v_f = 15 m·s^-1 Step 1: Write the formula for acceleration. a = (v_f - v_i)/( t) Step 2: Substitute the given values into the formula. a = 15 m·s^-1 - 28 m·s^-15 s Step 3: Calculate the acceleration. a = -13 m·s^-15 s a = -2.6 m·s^-2 East (or 2.6 m·s^-2 West) 5.2 A motorcycle that moves at 30 m·s^-1 north on a straight road, slams on brakes and stops after 6 s. Calculate the acceleration of the motorcycle. v_i = 30 m·s^-1 t = 6 s v_f = 0 m·s^-1 (stops) Step 1: Write the formula for acceleration. a = (v_f - v_i)/( t) Step 2: Substitute the given values into the formula. a = 0 m·s^-1 - 30 m·s^-16 s Step 3: Calculate the acceleration. a = -30 m·s^-16 s a = -5 m·s^-2 North (or 5 m·s^-2 South) Last free one today — make it count tomorrow, or type /upgrade for unlimited.