Ask Your Teacher   A projectile is launched with an initial speed of 45.0 m/s at an angle of 31.0° above the horizontal. The projectile lands on a hillside 3.80 s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) (a) What is the projectile's velocity at the highest point of its trajectory? magnitude      m/s direction      ° counterclockwise from the +x-axis (b) What is the straight-line distance from where the projectile was launched to where it hits its target?

A soccer player kicks a ball at an angle of 62° from the horizontal with an initial speed of 26 m/s. (a)  Find the horizontal component of the ball’s velocity.  (b)  Find the vertical component of the ball’s velocity.  (c)  How high does the kicked ball rise before it starts to come down? (d)  How long does the ball stay in the air?  (e) How far downfield does the ball land?  can you please help me with (d) and (e)?

An arrow is shot into the air at an angle of 59.8° above the horizontal with a speed of 21.5 m/s. What is the x-component of the velocity of the arrow 3.30 s after it leaves the bowstring? What is the y-component of the velocity of the arrow 3.30 s after it leaves the bowstring? What is the x and y-component of the displacement of the arrow during the 3.30-s interval? What is the y-component of the displacement of the arrow during the 3.30-s interval?

A ball is thrown downward from the top of the building with a speed of 18.0 m/s at an angle of 30.0° to the horizontal. a) What are the horizontal and vertical components of the velocity the instant the ball is thrown? b) What are the horizontal and vertical components of the velocity 1.00 s after being thrown?

A person standing 20.0 meters away from a  wall throws a stone from the ground level  at an angle of 60.0°above the horizontal with an initial speed of 25.0 m/s. The time it takes the stone to reach the wall and the   height at which the stone strikes the wall are: a.) t = 1.4 s,  y = 18.6 m b.) t=2.6s, y=11.5m c.) t = 1.6 s,  y = 22.1 m d.) t=6.8s, y=34.2m

A cart is moving with a constant horizontal velocity of 5.00 m/s. A small pebble is launched from the front of the cart with a velocity of 8.00 m/s at 60.0° above the horizontal as measured relative to the cart (see figure) and experiences no significant air resistance. Cart 60° 8.00 m/s -5.00 m/s Just as the pebble returns to the level from which it was launched, what is its distance from the front of the cart? How far did the pebble travel from its launch point relative to the ground.

A bullet is fired from ground level at 264 m/s and at an angle of 30.0°. Neglecting air resistance, answer the following questions: (a) What is the initial horizontal component of the velocity? Vix (b) What is the initial vertical component of the velocity? V₁y = (c) How high will the bullet rise? dymax m/s m/s Remember to round your answers to the correct number of significant digits.

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A cannonball is launched diagonally with an initial horizontal velocity of 50.0m/s and an initial vertical velocity of 30.0Om/s. Label the hypotenuse, opposite side and adjacent side, and determine all unknowns. initial velocity: m/s initial horizontal velocity: m/s initial vertical velocity: m/s At what angle (0) was the cannonball launched?

An athlete in a long jump trial leaves the ground at an 80o angle and covers a horizontal distance of 8.7 m. The speed with which he can jump remains constant. What should he do to increase the horizontal distance of his jump? Explain why this would work.