A salamander of the genus Hydromantes captures prey by launching its tongue as a projectile: The skeletal part of the tongue is shot forward, unfolding the rest of the tongue, until the outer portion lands on the prey, sticking to it. The figure shows the acceleration magnitude a versus time t for the acceleration phase of the launch in a typical situation. The indicated accelerations are a2 = 395m/s² and a₁ = 120m/s². What is the outward speed of the tongue at the end of the acceleration phase? a (m/s²) Number aq al 0 10 20 i 30 40 t (ms) ME Units m/s ·()

You built a pinball machine that has a banked circular track with radius 0.34 m. The ball shooter launches the ball directly into this circular track before the ball enters into the game. You fire pin balls at a constant speed into the track and adjust the banking angle until it works. The banking angle is 21 degrees. Assume your pin ball machine is on a horizontal plane, how fast is the ball launched into the track, in m/s? Hint: I have a video on this problem about swing pendulum but the results are very similar, except a string length was given instead of path radius and tension was present instead of normal force. Assume friction is negligible.

1

A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo = ( m/s) i + ( m/s) At the maximum height, the speed of the cannon ball is v = m/s and the magnitude of its acceleration is a = m/s?. The time needed to reach maximum height is t = S. The maximum height reached by the cannon ball is H = m.

A particle moves in a circular path according to the clockwise equation θ(t)=π/4+2t+4t2, where θ is the angle between the particle's position vector and the x axis, oriented positively counterclockwise. θ is measured in radians and t in seconds. Which of the images below represents the velocity vectors v (in red) and acceleration a (in blue) of the particle at time t=0?   Choose between an option :  A, B, C, D, E, F, G, or H

A person throws a ball with speed 102 m/s at a 45° angle.  How many seconds faster would the ball arrive if the person threw the ball at the same speed and the same distance but made the trip in two identical bumps.  Assume that there is no loss of speed at the bounce.  Hint:  Use R = v2/g * sin(2θ) and t=2*vy(sinθ)/g.

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?

A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. write a vector expression for the ball's acceleration as a function of time.

The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.54 m above the floor. The ball hits the floor 0.392 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)?     10.0 m/s^2     15.0 m/s^2     30.0 m/s^2     20.0 m/s^2

Can you solve it quickly please? Thanks.