1. The average acceleration of the motorcycle is 6.87 m/s² and it travels a distance of 53.6 m. 2. The final velocity of the ship is 3.06 m/s.
Step-by-step explanation:
1. The average acceleration of an object can be calculated using the formula: acceleration = change in velocity / change in time. In this case, the change in velocity is 26.8 m/s and the change in time is 3.90 s. So, the average acceleration is 6.87 m/s².
The distance traveled by the motorcycle during this time can be calculated using the formula: distance = initial velocity * time + (1/2) * acceleration * time². Since the motorcycle starts from rest, the initial velocity is 0 m/s. Plugging in the values, the distance traveled is 53.6 m.
2. In this problem, the initial velocity is 0 m/s and the acceleration is 0.19 m/s². The final velocity can be calculated using the formula: final velocity = initial velocity + acceleration * time. Substituting the values, the final velocity is 3.06 m/s.
The probable question can be: 1.If the vessel in the sample problem accelerates for 1.00 min, what will its speed be after that minute? Calculate the answer in both meters per second and kilometers per hour.2.In 1935, a French destroyer, La Terrible, attained one of the fastest speeds for any standard warship. Suppose it took 2.0 min at a constant acceleration of 0.19 m/s2 for the ship to reach its top speed after starting from rest. Calculate the ship’s final speed.3.A car with an initial speed of 6.5 m/s accelerates at a uniform rate of 0.92 m/s2for 3.6 s. Find the final speed and the displacement of the car during this time.4.The first permanent public railway was built by George Stephenson and opened in Cleveland, Ohio, in 1825. The average speed of the trains was 24.0 km/h. Suppose a train moving at this speed accelerates 0.20 m/s2 until it reaches a speed of 8.0 km/h. How long does it take the train to undergo this change in speed?5.A dumptruck filled with sand moves 1.8 km/h when it begins to accelerate uniformly at a constant rate. After traveling 4.0 102 m, the truck’s speed is 24.0 km/h. What is the magnitude of the truck’s acceleration?6.In 1993, Ileana Salvador of Italy walked 3.0 km in under 12.0 min. Suppose that during 115 m of her walk Salvador is observed to steadily increase her speed from 4.20 m/s to 5.00 m/s. How long does this increase in speed take?