A ball is thrown upward from the ground with  initial velocity vi= 14 m/s and reaches height of h above the ground before falling back down. Take the upwards direction to be positive. Neglect air resistance. (F) Calculate the value of delta t in seconds. (G) What is the total displacement, in meters, of the ball going through its entire motion: traveling from the ground to the top then falling back to the ground? (H) Enter an expression for the total time of flight of the ball: the time from when it is launches to when it lands  on the ground.

A cart is propelled over an its greatest y coordinate? xy plane with acceleration components a, = 6.8 m/s? and a, = -1.5 m/s2. Its initial velocity has components Vox = 7.3 m/s and voy = 12.4 m/s. In unit-vector notation, what is the velocity of the cart when it reaches Number Units

A tennis player serves a tennis ball such that it is moving horizontally when it leaves the racquet. When the ball travels a horizontal distance of 19 m, it has dropped 49 cm from its original height when it left the racquet. What was the initial speed, in m/s, of the tennis ball? (Neglect air resistance.)

(a) A soccer player kicks a rock horizontally off a 35 m high cliff into a pool of water. If the player hears the sound of the splash 2.84 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. m/s (b) What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.84 s after kicking the rock? m/s Need Help? Read It Watch It

Problem 2: An object is thrown off the top of a 38-m tall building with a velocity of 350 m/s at an angle of 8.2° with respect to the horizontal. Part (a) How long is the object in the air in seconds? Numeric : A numeric value is expected and not an expression. t = Part (b) What is the maximum height the object reaches above the ground in meters? Numeric : A numeric value is expected and not an expression. hmax = Part (c) What is the horizontal distance the object covers in meters? Numeric : A numeric value is expected and not an expression. Ax =.

An object is projected upward from ground level at an angle (Theta) and the air resistance is negligible. If the initial​ velocity, v0​, of the object is given in​ ft/sec and time t is measured in​ seconds, then the formulas for the​ object's height h and the horizontal distance traveled​ (the range) d after t seconds into flight are as follows. h= V0 t sin (Theta) - 16t2                 d = tv0 cos (Theta)  If (Theta) = 30 (Degrees) and the initial velocity is 140 ft/sec what is the following? ​(a) The​ object's maximum height. ​(b) The​ object's range.

The leaning tower of Pisa is 57 m tall. Supposedly Galileo investigated the behavior of falling objects by dropping them from the top of this tower and timing their descent. How long would it take an object to fall 57 m if air effects are negligible? Express your answer in 2 decimal places and in seconds.

At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of vo = i+ 5j – k. The acceleration function of the particle is a(t) = 32r²i + j+ (cos 21)k. Find the speed of the particle at time t = 1. Round your answer to two decimal places.

A graph of v(t) is shown for a world-class track sprinter in a 100-m race. (See figure below). Runner Velocity vs. Time Velocity (m/s) 14 12 2086 2 0 2 6 Time (s) 8 10 12 (a) What is his average velocity (in m/s) for the first 4 s? m/s (b) What is his instantaneous velocity (in m/s) at t = 6 s? m/s (c) What is his average acceleration (in m/s²) between 0 and 4 s? m/s² (d) What is his time (in s) for the race? S

A missile silo is used to launch military rockets vertically upward out of the silo, giving the rocket an initial speed of 79.6 m/s at ground level. As the rocket clears the silo, the engines fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1,080 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of -9.80 m/s². (You will need to consider the motion while the engine is operating and the free-fall motion separately. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the velocity of the rocket (in m/s) at the end of the engine burn time and also the burn time (in s). (For the velocity, indicate the direction with the sign of your answer.) velocity at end of engine V = 92.22 Check your kinematic equation relating vo, V1, ay, and AYo → 1 (where velocity of rocket as it clears the silo, v, = velocity of the rocket at…