A rocket is shot straight up in the air from the ground at a rate of 46 feet per second. The rocket is tracked by a rangefinder that is 427 feet from the launch pad. Let d represent the distance from the rocket to the rangefinder and t represent the time, in seconds, since "blastoff". Express d as a function of t.

Nuclear explosions cause a blast wave, a high-pressure shock wave generated by the heat from the fireball. These shock waves can travel in air at an average speed of 738 mph. (1 mile = 1609 meters). If a nuclear weapon in detonated in Pittsburgh, how far will the blast wave have traveled from the location of detonation 2.39 s after the explosion? (Give your answer in meters)

A police car is located 60 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 180 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 85 feet per second. How fast is the red car actually traveling along the road? The actual speed (along the road) of the red car is feet per second

Let A⃗ =6î −4ĵ  and B⃗ =−3î +7ĵ . What is C⃗ =A⃗ −4B⃗ ? Give your answer as a magnitude and direciton. Magnitude: Direction (specify as an angle measured counterclockwise from the positive x axis):

A rock is thrown upward from level ground in such a way that the maximum height of its flight, ymax, is equal to its horizontal distance d it travels before landing. (a) At what angle theta is the rock thrown? (b) Would your answer to part (a) be different on a different planet? Why? Hint for part (a): Make a sketch. Write out separate equations for vertical and horizontal motion, introducing a time variable. Relate the two equations to solve for theta.

You attach a meter stick to an oak tree, such that the top of the meter stick is 2.672.67 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.1860.186 seconds to pass the length of the meter stick, how high ℎ0h0 above the ground was the acorn before it fell, assuming that the acorn did not run into any branches or leaves on the way down?

On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 880 km/h northwestward direction (i.e., midway between north and west). Can you help me visualize the components of the first velocity, and when the plane flies due south at the same velocity.  I understand the answer will be -622.25 for the run, meaning 880*cos(45) for x -axis; the y axis north is 880*sin(45) resulting in 622.5 Please help me visualize the first and second velocity when the plane flies due south at the same velocity?  Help me to visualize where one of the velocities due south is zero, and the other is whatever it is.   I am afraid I can properly visualize or understand in simple terms what is asked.  My point can you help to understand the right angle theorem to the angle.

A transport plane travelling at a steady speed of 64 ms-1 and an altitude of 68 m, releases a parcel when it is directly above a point Q on level ground. a) What is the time of flight (in s) of the parcel? b) What is the horizontal distance (in m) from Q to the point of impact? c) What is the speed (in ms-1) of impact of the parcel?

A beachgoer in Florida notices the waves crashing ashore are spaced 15 meters apart and hit the shore every 6 s. How fast (in m/s) are the waves traveling?

A piece of wood moves at a velocity (measured in millimeters per year) of v(1) = r² – 3t – 4 where 1 = 1 would be the end of the first year. If a is the displacement of the wood in the first 5 years and b is the distance traveled in the first 5 years, what is a- b? None of the listed answers