(a) By taking the slope of the curve in Figure 2.60, verify that the velocity of the jet car is 115 m/s at t = 20 s . (b) By taking the slope of the curve at any point in Figure 2.61, verify that the jet car’s acceleration is 5.0 m/s2
Step-by-step solution 59PE Step 1 of 5 The slope of the Position vs. Time graph gives velocity of the object. Whereas, the slope of the velocity vs time graph gives acceleration. Step 2 of 5 (a) The slope of the Position vs. Time graph is calculated by tangent drawn at time 20 s. Step 3 of 5 The slope from the graph is calculated as, Here, and are the positions of jet car at time and respectively. Substitute 2100 m for , 900 m for , 25 s for and 15 s for . The speed of car from graph is 120 m/s and is very close to the expected value 115 m/s. So, the calculated is under valid range of uncertainty. Hence, verified that speed of jet car is .