An elevator 2.25 m high rises with a constant acceleration of 2.19 m / s2, and at the moment the velocity is 2.0 m / s, a screw is detached from the ceiling of the elevator. After how long does the screw hit the elevator floor?

A hot-air balloon is rising upward with a constant speed of 2.39 m/s. When the balloon is 6.74 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

Recently a space x launch vehicle was coasting at a constant velocity of 15m/s in the + y direction relative to a space station . The pilot of the vehicle fired a special RCS thruster which causes it to accelerate at 8m/s^2 in the +x direction . After 9.1 s the pilot shuts off the RCS thruster . After RCS thruster is turned off find the magnitude of the vehicles velocity in +x direction.

You step onto a hot beach with your bare feet. A nerve impulse, generated in your foot, travels through your nervous system at an average speed of 139m/s. How much time does it take for the impulse, which travels at a distance of 1.81m, to reach your brain?

A spacecraft has an initial speed of 3037 m/s at an angle of 27 degrees above the positive x axis. Two engines fire for 5.4 seconds, and produce an acceleration of 9.9 m/s/s at an angle of 18.5 degrees above the positive x axis. What is the final speed of the spacecraft? What angle is it at above the positive x-axis?

A hot-air balloon is rising upward with a constant speed of 2.55 m/s. When the balloon is 2.91 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

Two vectors have the following magnitude, A = 8.9 m and B = 7 m. Their vector product is:  A⨯B = -1.8 m i + 13.8 m k. What is the angle (in degrees) between the vectors A and B?

The position of a bird in the xy-plane is given by Bti + (yt-c t2)j where a = 1.2 m/s2, y = 2.4 and ß = -4.8 m/s. What is the bird's net acceleration at 2.0 s (magnitude and direction)? O 2.4 m/s? in the -y direction 7.2 m/s2 in the +y direction O 1.2 m/s? in the +y direction O7.2 m/s? in the -y direction 5.4 m/s2 in the +y direction O 5.4 m/s2 in the -y direction O 2.4 m/s2 in the +y direction O 1.2 m/s² in the -y direction

A car moves along a horizontal road with constant velocity VO,z i (44 m/s) i Vo = until it encounters a smooth inclined hill. It climbs the hill with constant velocity Ủ1 = V1,z î + V1‚y Ĵ = (38 m/s)i + (4.2 m/s) j as indicated in the figure. The period of time during which the car changes its velocity is At = 3.6 s. Y Part (a) Enter a symbolic expression for the average acceleration vector of the car during the given time period in terms of the variables in the problem and the standard unit vectors. Part (b) What is the magnitude, in meters per squared second, of the car's acceleration during the given time period.

This time you drop a ball from a height of 1.82 m and it hits the floor 0.365 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be?     27.3 m/s^2     33.3 m/s^2     17.5 m/s^2     37.1 m/s^2