You testify as an expert witness in a case involving an accident in which car A slid into the rear of car B, which was stopped at a red light along a road headed down a hill. You determine that the slope of the hill is 0 = 12.0°, that the cars were separated by distance d = 24.0 m
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- An airplane maintains a speed of 645 km/h relative to the air it is flying through as it makes a trip to a city 822 km away to the north. (Assume north is the positive y-direction and east is the positive x-direction.) (a) What time interval is required for the trip if the plane flies through a headwind blowing at 31.8 km/h toward the south? h (b) What time interval is required if there is a tailwind with the same speed? h (c) What time interval is required if there is a crosswind blowing at 31.8 km/h to the east relative to the ground? hProblem 2: An object is thrown off the top of a 38-m tall building with a velocity of 350 m/s at an angle of 8.2° with respect to the horizontal. Part (a) How long is the object in the air in seconds? Numeric : A numeric value is expected and not an expression. t = Part (b) What is the maximum height the object reaches above the ground in meters? Numeric : A numeric value is expected and not an expression. hmax = Part (c) What is the horizontal distance the object covers in meters? Numeric : A numeric value is expected and not an expression. Ax =.At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 239 km/h in the northwest direction (45° west of north). What is the magnitude of your average acceleration during the trip? answer in km/h^2
- A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 17.0t and y = 4.20t − 4.90t2, where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and ĵ. (Give the answer in terms of t.) = m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector as a function of time = m/s(c) obtain the expression for the acceleration vector as a function of time = m/s2(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.24 s. = m = m/s = m/s2An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.You testify as an expert witness in a case involving an accident in which car A slid into the rear of car B, which was stopped at a red light along a road headed down a hill (see the figure). You find that the slope of the hill is 0 = 14.0°, that the cars were separated by distance d = 24.0 m when the driver of car A put the car into a slide (it lacked any automatic anti-brake-lock system), and that the speed of car A at the onset of braking was vo = 18.0 m/s. With what speed did car A hit car Bif the coefficient of kinetic friction was (a) 0.590 (dry road surface) and (b) 0.170 (road surface covered with wet leaves)? (a) Number i Units (b) Number i Units
- A car is moving on Street Road in a fixed direction at a constant speed of V = 31 km/h with respect to the road. You wish to state the comedic factors of the motion of the car by using a Cartesian coordinate system who’s positive X axis is pointed in the direction of the motion of the car in the origin is fixed at some point on the road. (A) what is the expression for the velocity of the car, using the speed V and the unit vectors I, J, and K? (B) what is the X component of the position vector, and units of kilometers, at time t= 0.045 hr? An airplane maintains a speed of 615 km/h relative to the air it is flying through as it makes a trip to a city 696 km away to the north. (Assume north is the positive y-direction and east is the positive x-direction.) (a) What time interval is required for the trip if the plane flies through a headwind blowing at 34.5 km/h toward the south? h =(b) What time interval is required if there is a tailwind with the same speed? h =(c) What time interval is required if there is a crosswind blowing at 34.5 km/h to the east relative to the ground? h =One of the popular routes out of Toronto is towards Tokyo, Japan. An airplane model used by Air Canada for this 10345 km flight is the Boeing 787-9. It has capacity for 298 passengers. When every seat is occupied, the passengers and their luggage weigh approximately 3.41x104 kg. Approximately 6.03x104 kg of fuel has to be consumed during this one-way flight. Assuming the every seat is occupied, how much fuel in kilograms is required per passenger for the entire one-way flight? (do not include units, just the number of kilograms) Answer: Check
- You testify as an expert witness in a case involving an accident in which car A slid into the rear of car B, which was stopped at a red light along a road headed down a hill (see the figure). You find that the slope of the hill is 0 = 12.0°, that the cars were separated by distance d = 21.0 m when the driver of car A put the car into a slide (it lacked any automatic anti-brake-lock system), and that the speed of car A at the onset of braking was vo= 16.0 m/s. With what speed did car A hit car B if the coefficient of kinetic friction was (a) 0.520 (dry road surface) and (b) 0.110 (road surface covered with wet leaves)? (a) Number B Units (b) Number Units d vo Vo4 AFor this problem, you can think of the jet stream as a river of air. Across the United States, the jet stream usually moves from west to east. We will assume that the jet stream is moving in its usual direction at 9.00 x 101 km/hr. On a particular day, you need to pilot a plane from one city to another that is 4.50 x 102 km directly to the south. The top speed of the aircraft in still air is 285 km/hr. (a) Make a sketch to represent what is happening in this problem. Label all quantities that you know. (b) Using cardinal directions (north, east, south, west) to give a heading, which direction should you aim the plane to reach the city directly to the south at top speed? (c) How fast (in km/hr) would you be moving relative to the ground? (c) How much time (in hr) will it take you to reach your destination?A hiker begins a trip by first walking 22.5 km southeast from her base camp. On the second day she walks 41.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower. (a) Determine the components of the hiker's displacements in the first and second days. Ax : Ay: Bx: By : (b) Determine the components of the hiker's total displacement for the trip. Rx: Ry: (c) Find the magnitude and direction of the displacement from base camp. Magnitude: Direction: