A football kicker is attempting a field goal from 33m out. The ball is kicked and just clears the lower bar with a time of flight of 2.9s. If the angle of the kick was 45°, what was the initial speed of the ball?

A placekicker is about to kick a field goal. The ball is 27.5 m from the goalpost. The ball is kicked with an initial velocity of 24.5 m/s at an angle above the ground. Between what two angles, 0₁ and 02, will the ball clear the 2.90-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec = 1/(cos) and sec²0 = 1 + tan²0.) (a) Number i (b) Number i vo vo. Units Units 10₂

A batter hits a pitched ball when the center of the ball is 1.37 m above the ground.The ball leaves the bat at an angle of 45° with the ground. With that launch, the ball should have a horizontal range (returning to the launch level) of 113 m. (a) Does the ball clear a 8.06-m-high fence that is 103 m horizontally from the launch point? (b) At the fence, what is the distance between the fence top and the ball center?

In a game of basketball, a player released the ball with a velocity of 6 m/s at 45° above the horizontal from a height of 2 m from the floor. The center of the basket is 4.21 m from the free throw line and 3.05 m above the floor. (a) Is this a miss or a basket? (type miss or basket for your answer)    (b) The player shoots again at 45° from the same point of release. What must be the initial speed of the ball so that it will go through the basket?

You are standing at the free throw line, 4.25 m horizontally from the hoop, which is 3.05 m from the floor. If your shot starts at 1.75 m at a 60° angle, how fast must you throw the ball to make the shot?

A batter hits a pitched ball when the center of the ball is 1.26 m above the ground.The ball leaves the bat at an angle of 45° with the ground. With that launch, the ball should have a horizontal range (returning to the launch level) of 115 m. (a) Does the ball clear a 8.75-m-high fence that is 105 m horizontally from the launch point? (b) At the fence, what is the distance between the fence top and the ball center? (a) (b) Number Units

Problem 1 ( . You are on one bank of a river at height h want to jump across the river to the opposite bank, which is at the same height as the river horizontal distance d = 1.5 m away. = 2m above the river. %3D d (a) If you leave the bank of the river at an angle 0 = 30°, what initial speed do you need to just barely make it to the other side? (b) If you jump at this angle and with the speed you found in (a), what is your speed just before you land on the other side of the river? (c) Suppose that when you land on the other side of the fiver, an average force of 14 000 N brings you to rest. Assuming all of this force is exerted on your tibia, what is the percent change in the length of your tibia as you are landing? Assume the tibia has a cross-sectional area of 3 cm? and a Young's modulus of 1.4 x 1010 Pa.

An object is launched at a velocity of 20 m/s in a direction making an angle of 45° upward with the horizontal. a) What is the maximum height reached by the object? b) If the object has a time of flight of 2.9 s, what is the horizontal range of the object?

A ball is thrown so that it clears a 10-ft fence 60 ft away. If it left the hand 5 ft above the ground and at an angle of 60° to the horizontal, what was the initial velocity of the ball.