A plane, diving with constant speed at an angle of 48.7° with the vertical, releases a projectile at an altitude of 634 m. The projectile hits the ground 6.69 s after release. (a) What is the speed of the plane? (b) How far does the projectile travel horizontally during its flight? What were the magnitudes of the (c) horizontal and (d) vertical components of its velocity just before striking the ground? (State your answers to (c) and (d) as positive numbers.) (a) Number Units (b) Number Units (c) Number Units (d) Number Units

An athlete in a high jump event is running at 5.3 m/s directly toward the high-jump bar when he jumps into the air to jump over the bar. He maintains his horizontal velocity. (Hint : The athlete is now on a projectile trajectory to reach the high-jump bar) (a)What vertical velocity (in m/s) does he need in order to just rise 65 centimeters above the ground? (b)How far (in m) from the bar (measured in the horizontal direction) must he start his jump to reach his maximum height at the same time as he reaches the bar?

A certain airplane has a speed of 315.0 km/h and is diving at an angle of ? = 35° below the horizontal when the pilot releases a radar decoy (see Figure below). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 733 m. How high was the release point?

In the figure here, a ball is thrown up onto a roof, landing 5.00 s later at height h = 22.0 m above the release level. The ball's path just before landing is angled at 0 = 65.0° with the roof. (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if it is on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity? 0000 (a) Number (b) Number (c) Number Unit Unit Unit <

An arrow is fired with initial velocity v0 at an angle ? from the top of battlements, a height h above the ground. (Assume ? is measured above the horizontal.) (a) In terms of h, v0, ?, and g, what is the time at which the arrow reaches its maximum height? t=? (b) In terms of h, v0, ?, and g, what is the maximum height above the ground reached by the arrow? hmax = ?

You hit a golf ball from the (level) ground, with an initial speed and an initial angle.  Ignore air resistance.  (This is very unrealistic.) The initial speed is v0 = 23.7 m/s, and the angle the ball is hit at is θ = 46o.  Calculate vx0, the initial horizontal component of velocity (in m/s). What equations describe the trajectory of the golf ball?

A batter hits a baseball 3 ft above the ground, so that the ball leaves the bat with a speed of 120 ft/s and at an angle 60° above horizontal. (a) How far will the baseball travel until it first hits the ground? (b) What will be the maximum height of the baseball? (c) What is the speed that the baseball is traveling at when it first hits the ground?

In the figure here, a ball is thrown up onto a roof, landing 4.90 s later at height h = 23.0 m above the release level. The ball's path just before landing is angled at e = 53.0° with the roof. (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if it is on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity? (a) Number Unit (b) Number i Unit (c) Number Unit >

Questions 1 through 3 pertain to the situation described below: An archer wants to launch an arrow from a bow to clear a treetop that is 35.0 m vertically above, and 97.0 m horizontally away from, the launching location. Assume that the launching speed is 57.0 m/s and the launching angle is 0 above the horizontal. (1) How much does the arrow clear the treetop if 0 = 30.0°? (A) 3.6 m; (B) 3.1 m; (C) 2.6 m; (D) 2.1 m; (E) 1.6 m. (2) What is the maximum horizontal range of the arrow if 0 can vary? (A) 212 m; (B) 242 m; (C) 272 m; (D) 302 m; (E) 332 m. (3) What is the range of 0 for the arrow to clear the treetop? (A) 29.9-86.0°; (B) 28.9–81.0°; (C) 27.9–76.0°; (D) 26.9–71.0°; (E) 25.9–66.0°.

In the figure here, a ball is thrown up onto a roof, landing 3.70 s later at height h = 20.0 m above the release level. The ball's path just before landing is angled at 0 = 60.0° with the roof. (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if it is on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity? OO口口 DODD (a) Number i Unit (b) Number i Unit (c) Number i Unit > > >