ball is launched straight up and then falls straight back down to the ground. Which of the following statements is true about the ball at the peak of it's trajectory?   Question 3 options:   The magnitude of the ball's displacement relative to the ground is zero   The magnitude of the ball's velocity relative to the ground is zero   The magnitude of the ball's acceleration relative to the ground is zero   All of the above   None of the above

A supply plane flies horizontally with a speed of 100 m/s and an altitude of 350 m. Use g = -10 m/s/s. A) What are the initial velocity components of an object that is dropped from the plane at the instant it is dropped? B) How fast is an object that is dropped from the plane traveling 7.5 seconds later?  C) What angle, below the horizontal, does the velocity vector of an object that is dropped from the plane make 7.5 seconds later?  D) How long does it take for an object that is dropped from the plane to hit the ground when air resistance is neglected?  E) How far does an object that is dropped from the plane travel in the horizontal direction?

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 17.5 m/s. The cliff is h = 32.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0     m y0     m (b) What are the components of the initial velocity? v0x     m/s v0y     m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx   vy   (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x   y   (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf    m/s θ…

A cart is moving with a constant horizontal velocity of 5.00 m/s. A small pebble is launched from the front of the cart with a velocity of 8.00 m/s at 60.0° above the horizontal as measured relative to the cart (see figure) and experiences no significant air resistance. Cart 60° 8.00 m/s -5.00 m/s Just as the pebble returns to the level from which it was launched, what is its distance from the front of the cart? How far did the pebble travel from its launch point relative to the ground.

You want to know the height of a cliff so you throw a rock off the edge with an initial speed of 24.7 m/s inclined at an angle 31.2° above the horizontal. You have a friend that records that it takes 4.6 s for the rock to hit the bottom of the canyon after it is thrown. For the following questions, call up the positive y direction and make the positive x direction horizontal and towards the direction the rock is thrown. If you ignore air resistance, what is the y component of the velocity of the rock right before it hits the ground?

A projectile 10.0 m above ground is fired horizontally with an initial speed of 12.0 m/s the projectile in air = 1.43s the projectile travel before hitting the ground = 17.2 m The fired cannon at several different initial speeds and its corresponding ranges initial speed range 13.0 18.6 14.0 20.0 15.0 21.5 16.0 22.9 17.0 24.3 a. Does range increase linearly with the initial speed? Explain. b. Find the time of flight t and the correlation coefficient r : c. Find the value of g

A ball is launched at a 68 degree angle to the horizon with a velocity of 15 m/s.

A baseball pitcher throws a pitch with an initial velocity of 45 m/s (100 mph!), directed horizontally. You will be asked to find how far the ball drops vertically by the time it crosses the plate 18.0 m away.  Which equation will you use to find the time it takes for the ball to travel the horizontal distance to the plate? Hint: Look at your given variables in the x-direction.    vfx2=v0x2+2axΔx    Δx =v0x t + ½ axt2    vfx=v0x+axt   Δx=1/2(v0x+vfx)t

You launch a projectile with an initial speed of 41.9 m/s from the top of a building 26.4 m above the ground, at an angle of 31.3 degrees above the horizontal. How far from the base of the building does the projectile land on the ground?     194.4 m     158.9 m     176.7 m     243.0 m

A projectile is launched with an initial velocity of 34.8 m/s at 68.8 degrees with respect to the horizontal. What is the speed of the projectile 1.7 s after being launched. Assume the speed is measured in m/s.