You throw a ball straight up at v_0 (you are on the ground). Derive an expression for the highest point that the ball reaches. Derive an expression for the time it takes to get to the highest point. Derive and expression for the time it takes to come back to you. Be sure you use diagrams and clearly define your coordinate system. All you answers will be symbolic. Show all of your algebra steps. Discuss what forces are acting on the ball after it leaves you hand. Discuss what direction that force is.

Hey im stuck on this question You are on the plane neptune and want to determine the acceleration due to gravity, g. You have a stopwatch and a toy gun that can launch a ping pong ball vertically upwards with an initial velocity of 7.5 m/s. Describe, in words, how you would perform an experiment to determine the acceleration due to gravity. Be sure to describe the variables you would measure, the equations you would use and the assumptions you would make. Make sure to include a diagram of the physical situation, label know and unknown quantities with units, coordinate system. Please use grade 12 kinematics and label the variables as v1, v2, a (Acceleration), t (time), d (displacement) Thanks!

Please answer ASAP. SHOW THE STEPS AND FORMULAS PLEASE

Help! An asteroid is heading towards us at 10 km/s. Scientists decide the best solution is to attach a rocket to the asteroid and fire it to change the trajectory of the asteroid. If the rocket is fired for 8 min, the scientists calculate that the new speed for the asteroid will be 21 km/s and its new trajectory will be at an angle of 25° to its original path. Part A In the process described above, what is the acceleration of the asteroid? Express your answers using two significant figures separated by a comma. Assume that the positive axis is in the direction of the initial motion of the asteroid. The final motion of the asteroid has components in the x and positive y directions only. ax ay = for Part A for Part A undo for Part A redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Review I Constants m/s2

Projectile motion A projectile is launched from the origin, which is a point 50 ft from a 30-ft vertical cliff (see figure). It is launched at a speed of 50√2 ft/s at an angle of 45° to the horizontal. Assume the ground is horizontal on top of the cliff and that only the gravitational force affects the motion of the object.a. Give the coordinates of the landing spot of the projectile on the top of the cliff.b. What is the maximum height reached by the projectile?c. What is the time of flight?d. Write the integral that gives the length of the trajectory.e. Approximate the length of the trajectory.f. What is the range of launch angles needed to clear the edge of the cliff?

An object is hanging by a string from your rearview mirror. Part A While you are accelerating at a constant rate from rest to 28 m/sm/s in 5.9 s, what angle θ does the string make with the vertical? See the figure. (Figure 1) Express your answer using two significant figures.

Activity 1.16- Projectile Motion Problems Note: Neglect air friction unless otherwise specified. Use g = +10 m/s² for the magnitude of the acceleration due to gravity. 1. You throw a snowball from a roof with a speed of 20 m/s at an angle of 36.87" above the horizontal. The ball lands at a horizontal distance of 48 meters from where you throw the snowball. Assume free fall. a. Use the diagram below and problem statement above to complete the table. Write in values if given in the problem statement (or easily calculated). Use a question mark if the value is not given in the problem statement. Use the origin and +x and ty directions shown. Ya 16-20 (0,0) ! +y 9 = 36.87 48 m Vaz- x= V₂ = b. How long is the ball in the air? Start by writing the relation you use symbolically. C How high is the roof? Start by writing the relation you use symbolically By y= Vy= d. What is the speed and direction of the snowball just before it hits the ground? Give angle relative to vertical with zero degrees…

Draw a picture of a cart rolling up a ramp.  Draw arrows above the cart to show the direction of the velocity and the direction of the acceleration.  Choose a coordinate system and include this in your picture. Draw a new picture of a cart rolling down a ramp.  Draw arrows above the cart to show the direction of the velocity and the direction of the acceleration.  Label your coordinate system. Sketch a graph of the instantaneous acceleration vs. time for the entire motion of the cart as it rolls up and then back down the track after an initial push.  Label the instant where the cart reverses its motion near the top of the track.  Explain your reasoning.  Write down the equation(s) that best represents this graph.  If there are constants in your equation, what kinematic quantities do they represent?  How would you determine these constants from your graph?

Please see question attached in pic 1 and see the student solution in pic 2. Can you please show in steps how they arrive at the solutions?

Page The heights of a rock after t seconds, when propelled straight up with an initial speed of 80 feet per second from an initial height of 20 feet, can be modeled by the function s(t) = -16t² + 80t +20. When will the height of the rock be 50 feet? Round your answer to the nearest tenth of a second. C