A toy car starts at rest and accelerates up a 40 degree ramp with acceleration a=sqrt(t^3). It then flies into the air, and lands back on the ground. If the height of the ramp h=6, what is the horizontal distance x?

A jetliner is moving at a speed of 245 m/s. The vertical component of the plane's velocity is 40.6 m/s. Which equation represents the vertical component of the plane's velocity? Select one: O Vx = V, cos e O Vy = v, sin e V =v, cos e iy O V = V, sin e

If you take a man to the top of a 20 m tall building and throw him off with a velocity of 5 m/s directed horizontally, what’s the magnitude of his velocity upon hitting the ground (in m/s)? answers include: 22.4 m/s 19.8 m/s 9.8 m/s 20.4 m/s

An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below. x (m) 100- 80 60 40 20 direction VA magnitude VB direction VB magnitude v с تو سفر direction VC magnitude VD A 10 B C 4 20 30 40 (a) For each segment of the graph, find the magnitude and direction of the athlete's velocity. 0 magnitude VA X D 50 positive x 60 Remember that velocity is the change in position per the change in time. If the graph plots position vs. time, what property of the plot in each segment is related to velocity? Think about the initial and final times and positions for each segment. m/s The magnitude is zero. ✓ X -1.33 X t (s) Remember that velocity is the change in position per the change in time. If the graph plots position vs. time, what property of the plot in each segment is related to velocity? Think about the initial and final times and positions for each segment. m/s negative x X Remember that velocity is the change in position per the…

A helicopter is ascending vertically with a speed of 5.21 m/sm/s . At a height of 102 mm above the Earth, a package is dropped from the helicopter.   How much time does it take for the package to reach the ground? [Hint: What is v0v0 for the package?] Express your answer to three significant figures and include the appropriate units.

you wake up in a strange room, and this time you drop a ball from a height of 1.79 m above the floor. The ball hits the floor 0.242 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 61.1 m/s^2 30.6 m/s^2 45.9 m/s^2 91.7 m/s^2

A rock was thrown horizontally from a 146 m high cliff. It strikes the ground 97 m from the base of the cliff. At what speed was it thrown? A 19.9 m/s 17.8 m/s 18.3 m/s D 16.3 m/s

A fish swimming in a horizontal place has velocity v = (4.01 +1.0))m/s at a point in the ocean where the position relative to a rock is = (10.0-4.0)m. After the fish swims with constant acceleration for 20 sec its velocity is v = (20.01-5.0/)m/s. A) What are the components of the acceleration? B) What is the direction of the acceleration with respect to unit vector ? C) If the fish maintains constant acceleration, where is it at t=2.5 s, and in what direction is it moving? 4) A stone is thrown straight

A particle’s acceleration is (4.0iˆ+3.0jˆ)m/s2.(4.0i^+3.0j^)m/s2. At t = 0, its position and velocity are zero. (a) What are the particle’s position and velocity as functions of time? (b) Find the equation of the path of the particle. Draw the x- and y-axes and sketch the trajectory of the particle.