A plane, diving with constant speed at an angle of 43.5° with the vertical, releases a projectile at an altitude of 627 m. The projectile hits the ground 6.50 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 (b) Number Mi (c) Number i Units Units 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?

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 = ?

A golf ball is hit upward, with an initial velocity of 47 meters per second, at an angle of 25° with respect to the horizontal. The ball is hit from a height of 8 meters above the ground.   The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is hit are given by the parametric equations below.   x=(v0cosθ)t y=−4.9t^2+(v0sinθ)t+h Here v0 is the initial velocity, θ is the initial angle with respect to the horizontal, and h is the initial height.   Use the equations to answer the following questions.   (a)How long is the ball in the air before it first touches the ground?Do not round any intermediate computations. Round your answer to the nearest hundredth. _____ seconds (b)What is the horizontal distance the ball travels before it first touches the ground?Round your answer to the nearest whole number. _____ meters

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 > > >

Acertain airplane has a speed of 297.6 km/h and is diving at an angle of 0 = 33.0° below the horizontal when the pilot releases a radar decoy (see the figure). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 651 m. (a) How long is the decoy in the air? (b) How high was the release point?

An arrow was shot from a height of 1.6 5M toward a cliff of height H. it is shot with the velocity of 35 m/s at an angle of 60 degrees above the horizontal. It lands on the top edge of the cliff 3.6 s later. (A) what is the height H of the cliff in M? (B) what is the maximum height reached by the arrow along as trajectory in meters? (C) what is the arrow speed just before hitting a cliff in m/s? 

A plane, diving with constant speed at an angle of 45.9° with the vertical, releases a projectile at an altitude of 680 m. The projectile hits the ground 6.56 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.)

In the figure here, a ball is thrown up onto a roof, landing 3.50 s later at height h = 24.0 m above the release level. The ball's path just before landing is angled at 0 = 61.0° 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? DO00 (a) Number i Unit (b) Number i Unit (c) Number i Unit