In anticipation of a long 6° upgrade, a bus driver accelerates at a constant rate from 80 km/h to 100 km/h in 8 s while still on a level section of the highway. Knowing that the speed of the bus is 100 km/h as it begins to climb the grade at time t= 0 and that the driver does not change the setting of the throttle or shift gears, determine (a) the speed of the bus when t= 10 s, (b) the time when the speed is 60 km/h.
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In anticipation of a long 6° upgrade, a bus driver accelerates at a constant rate from 80 km/h to 100 km/h in 8 s while still on a level section of the highway. Knowing that the speed of the bus is 100 km/h as it begins to climb the grade at time t= 0 and that the driver does not change the setting of the throttle or shift gears, determine (a) the speed of the bus when t= 10 s, (b) the time when the speed is 60 km/h.
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- Problem 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 =.A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 18.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 2.90 m/s² for a distance of 30.0 m to the edge of the cliff, which is 45.0 m above the ocean. (a) Find the car's position relative to the base of the cliff when the car lands in the ocean. m (b) Find the length of time the car is in the air. Need Help? Read ItThe Kingda Ka roller coaster in New Jersey is the world's tallest ride of its kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s. (Assume the cars are launched in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.) (a) What is the acceleration experienced by passengers on this ride in m/s? m/s? What is the acceleration experienced by passengers on this ride in g's? g (b) If a certain passenger has a mass of 61 kg, what is the force in newtons that acts on him during the launch phase of this ride? What is the force in pounds that acts on him during the launch phase of this ride? Ib
- A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 3.82 m/s2 for a distance of 40.0 m to the edge of the cliff, which is 40.0 m above the ocean. (a) Find the car's position relative to the base of the cliff when the car lands in the ocean. m(b) Find the length of time the car is in the air. sA car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 4.00 m/s2 for a distance of 50.0 m to the edge of the cliff, which is 30.0 m above the ocean. Find (a) the car’s position relative to the base of the cliff when the car lands in the ocean and (b) the length of time the car is in the air.A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 20.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 3.21 m/s2 for a distance of 45.0 m to the edge of the cliff, which is 20.0 m above the ocean. (a) Find the car's position relative to the base of the cliff when the car lands in the ocean. (b) Find the length of time the car is in the air.
- An insect crawls on the floor along the curved path shown in the figure below. The insect's positions and velocities are indicated for times t; = 0 and t = 6.00 s. (Note the insect's initial velocity at t; in the +y-direction and its final velocity at t, is in the +x-direction.) y (m) V av, x Vav, y 0.150 0.390 (b) average velocity (in m/s) a av, x a av, y = Find the x- and y-components of the insect's displacement, average velocity, and average acceleration between the two times. (Indicate the direction with the signs of your answers.) (a) displacement (in m) Ax = Ay = = Need Help? 0.100 Submit Answer m (c) average acceleration (in m/s²) m/s² m/s² Read It m U;= 0.110 m/s tį Uf m/s m/s = 0.110 m/s 0.440 x (m)The Kingda Ka roller coaster in New Jersey is the world's tallest ride of its kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s. (Assume the cars are launched in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.) (a) What is the acceleration experienced by passengers on this ride in m/s2? m/s2What is the acceleration experienced by passengers on this ride in g's? g(b) If a certain passenger has a mass of 73 kg, what is the force in newtons that acts on him during the launch phase of this ride? NWhat is the force in pounds that acts on him during the launch phase of this ride? lbUse the position function s(t) = −4.9t2 + 250, which gives the height (in meters) of an object that has fallen for t seconds from a height of 250 meters. The velocity at time t = a seconds is given by as attached. When will the object hit the ground? At what velocity will the object impact the ground?