1) A subway train starts from rest at a station and accelerates at a rate of 1.6 m/s² for 14 seconds. It runs at constant speed for 70 seconds and slows down at a rate of 3.5 m/s² until it stops at the next station. Find the total distance covered by the subway train.

A rocket travels upward at 75 m/s. When it is 80m from the ground, the engine fails. Determine the maximum height reached by the rocket. Also determine the speed just before it hits the ground. Use g= 9.81 m/s2 .

A happy kangaroo leaps vertically upward at a time t = 0. At time t = 0.50 s the kangaroo is at a height of 2.0 meters above the ground. What is the speed and direction of motion of the kangaroo at this time (at t = 0.50 s)? Neglect air friction. 4.9 m/s downward 1.55 m/s upward O none of these 2.45 m/s downward 4.9 m/s upward 2.45 m/s upward

A helicopter with a mass of 10,000 kg takes off straight up at t=0. The thrust of the engine is defined given as a function of time: FT= 95 0.18t- (kN). Where t is in units of seconds. How fast is it rising and what is its elevation at t=4s?

An object with a mass of 0.45 kg is released from rest while immersed within a fluid. It reaches a speed of 50.6 percent its maximum speed in a time of 0.5 seconds. What is the object's terminal speed if the resistive force acting is given by; R = -bv ? (Assume that the gravitational force also acts)

A car climbs through a slope of 30° in 5 seconds. If it starts at rest and after 10 m its velocity is 80 km/h. What is the power that the car has to develop? What is the force that produces this power and makes it possible for the car to climb and accelerate? Assume the car does not suffer any temperature change and that its mass is m = 450 kg. d = 10 m 0 - 30°

The force exerted by the motor M on the cable is shown in the graph. (Figure 1) Part A: Determine the velocity of the 155-lb crate A when t=2.5s. Express your answer in feet per second to three significant figures.

A truck is traveling south at a speed of 70 km/h toward an intersection. A car is traveling east toward the intersection at a speed of 80 km/h. The direction of the car to the truck is estimated as

A satellite orbiting at an altitude of 500 kilometres travels around the earth 15 times in 24 hours. Determine the linear velocity of the satellite in km/h if the average diameter of the earth is approximately 7918 miles.

Two airplanes are performing at an air show. Plane B enters the circular path (r =105 meters) at point O with a velocity of (vB)o = 48 m, which is increasing at a rate of 0.007s2 m. where "s" is the arc length measured from point O in meters. Plane A is travelling along a straight inclined path (0= 38°) and has a constant velocity of va = 132 m. Determine the magnitude of the velocity vector of plane B (in m) when it has travelled 30° around the circular path. A 30 y В -