You will now calculate the initial velocity, v0 , required to launch a ball to a...

You will now calculate the initial velocity, v₀ , required to launch a ball to a horizontal distance, d , if the ball is launched purely horizontally from a height h above the top of the table.

First draw a diagram of the situation. Clearly label h , d , v₀ , and the point you select as your origin.

Use 1-D kinematics to determine the time it would take the ball to fall if you simply released it from a height of h above the top of the table. Since motion in the x and y-dimensions are independent, that is really all that is happening in the y-direction. Your answer can depend on variables g , h , d , and v₀ , but not necessarily all of them.

Use 1-D kinematics to determine the average speed the ball would have if it traveled a distance d in the time you calculated above. Your answer can depend on variables g , h , d , and v₀ , but not necessarily all of them. Since the initial velocity from the launcher was purely in the x-direction, and there is no acceleration in the x-direction, this is just v₀ .

Expert Solution

genius_generous answered 2 years ago

(a) You throw a beach ball upward with an initial velocity of v0. When the air...

(a) You throw a beach ball upward with an initial velocity of v0. When the air resistance is linear Fdrag = -bv, find the maximum height of the ball, the time of flight, and the final velocity. (b) You throw a beach ball upward with an initial velocity of v0. When the air resistance is quadratic Fdrag = -cv^2, find the maximum height of the ball, the time of flight, and the final velocity. (c) You throw a beach ball...

A projectile is launched vertically from a launch pad with an unknown initial velocity, V0. An...

A projectile is launched vertically from a launch pad with an unknown initial velocity, V0. An unknown time, T, later, an observer is in a pickup which is traveling in such a way that the angle of elevation to the projectile is 22° and increasing at 2° per second. When the pickup is 750 m away from the launch pad, it is moving away from the launch pad at 25 m/sec. A) Find the initial velocity, V0. B) Find the...

A ball is thrown upward with initial velocity v0 = 15.0 m/s at an angle of...

A ball is thrown upward with initial velocity v0 = 15.0 m/s at an angle of 30° with the horizontal. The thrower stands near the top of a Jong hill which slopes downward at an angle of 20°. Determine how far down the slope the ball strikes.

Calculate the launch velocity needed to successfully land the cannon ball at each distance, given the...

Calculate the launch velocity needed to successfully land the cannon ball at each distance, given the following conditions: launch angle (θ) was 27.5°, the launch height (yi) was 9.59 m, the height of the landing pad (yf) was 2.50 m, and the range (R) is the cannon-landing site distance. Cannon-landing site distance (m) Launch Velocity (m/s) 68 75 245

A) A bowling ball is given an initial speed v0 on an alley such that it...

A) A bowling ball is given an initial speed v0 on an alley such that it initially slides without rolling. The coefficient of friction between ball and alley is µ. Find the speed of the ball’s center of mass vCM at the time pure rolling motion occurs. B) Since the frictional force provides the deceleration, from Newton’s second law it follows that aCM = µ g. Find the distance x it has traveled. When pure rolling motion occurs, vCM =...

If a projectile is fired with an initial velocity v0 meters per second at an angle...

If a projectile is fired with an initial velocity v0 meters per second at an angle α above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x=(v0 cos α)t & y=(v0 sin α) t-1/2gt2 Suppose α=30o and v0=500 m/s (a) At what time t does the projectile hit the ground? (b) How far does the projectile travel from the time it is fired until the time...

A spherical cannonball of mass 2M is launched with an initial velocity v0 at an angle...

A spherical cannonball of mass 2M is launched with an initial velocity v0 at an angle of 45° above the horizontal. There is an explosive charge between the two halves of the cannonball which is detonated when the cannonball has reached the highest point of its trajectory. One half of the cannonball (mass M) is propelled backwards exactly along the original trajectory and lands back in the cannon (good trick!). Ignore air resistance for this problem. a) Assuming level terrain,...

Part I An object is through from the origin at an initial velocity of v0 and...

Part I An object is through from the origin at an initial velocity of v0 and at an angle θ in relation to the horizon. a. write out r->(t) for the object b. find the velocity vector and acceleration vector for the object. c. calculate the angle between the velocity vector and the acceleration vector at any point in time t. Part II An object is moving upwards on a slope at initial velocity v0. There is friction between the...

A batter hits the baseball A with an initial velocity of v0 = 97 ft/sec directly...

A batter hits the baseball A with an initial velocity of v0 = 97 ft/sec directly toward fielder B at an angle of 40° to the horizontal; the initial position of the ball is 2.0 ft above ground level. Fielder B requires 0.23 sec to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the “catch position” simultaneously...

A bullet of mass m is fired from the initial ground velocity of magnitude v0 at...

A bullet of mass m is fired from the initial ground velocity of magnitude v0 at elevation angle θ0. (a) Express her momentum relative to the location of the shot as a function of time. (b) How fast does the momentum change? (c) Calculate the size vector r × F directly and compare it with the result of problem (b). Why both results are identical

Question