A (field) hockey player is running north at a speed of 8 m⋅s−1. A ball is...

A (field) hockey player is running north at a speed of 8 m⋅s−1. A ball is coming directly towards her from the north at a speed of 18 m⋅s−1. She swings her stick forward, directly north, at a speed of 6 m⋅s−1 measured in her own frame of reference. What is the speed of the ball with respect to the hockey stick?

Relative to the hockey stick, the ball is travelling at ____ m⋅s−1.

Jane's brother Andrew leaves home for school at 8:00 am. He walks at 3.3 kph. At 8:20 am Jane discovers that Andrew has left his homework at home. She decides to follow him on her bicycle and give him his homework, but she wants to be back home in time for an online test at 9 am. What is the minimum constant speed at which she needs to ride? (Hint: At what time of day will they meet?)

Jane must ride at least ______ kph.

Expert Solution

genius_generous answered 1 year ago

Mario, a hockey player, is skating due south at a speed of 6.35 m/s relative to...

Mario, a hockey player, is skating due south at a speed of 6.35 m/s relative to the ice. A teammate passes the puck to him. The puck has a speed of 8.09 m/s and is moving in a direction of 22.0 ° west of south, relative to the ice. What are (a) the magnitude and (b) direction (relative to due south) of the puck's velocity, as observed by Mario?

A 3.71 kg ball of clay is traveling straight north with a speed of 24.8 m/s,...

A 3.71 kg ball of clay is traveling straight north with a speed of 24.8 m/s, collides with a 3.65 kg ball of clay travelling strait east with a speed of 23.4 m/s. What is the speed of this new ball of clay after its collision? (I got 17.1 m/s) What direction is it traveling, given as a degree north of east?

A 110-kg rugby player is sliding on a muddy field at a speed of 2 m/s...

A 110-kg rugby player is sliding on a muddy field at a speed of 2 m/s toward the right as a 82-kg player is slipping at a speed of 3 m/s toward the left. As the two players collide, they grab onto each other and slide away together as one. What kind of collision was this? Set up the conservation of linear momentum for this collision, and determine the shared velocity (magnitude & direction) of the players immediately after the...

When serving, a tennis player hits the ball horizontally. With a speed of 29.12 m/s. What...

When serving, a tennis player hits the ball horizontally. With a speed of 29.12 m/s. What minimum height, H (in m) from which the ball must be launched to just clear the 0.90 m high net about L = 17.65 m from the server. How far from the end of the service box (which is a distance of S = 6.80 m from the net) will the ball land if it just clears the net? Use the positive direction if...

3) A soccer ball is kicked with an initial horizontal speed of 8 m/s and an...

3) A soccer ball is kicked with an initial horizontal speed of 8 m/s and an initial vertical speed of 6 m/s. Identify the following quantities and include one short sentence to explain your answer using the concepts of projectile motion (no calculations are necessary). Assume that projection and landing height are the same and neglecting air resistance (4 pts): a) The ball’s horizontal speed 0.5 seconds into its flight is: because: b) The ball’s horizontal speed midway through its...

Anita is running to the right with a speed of 6 m/s

Anita is running to the right with a speed of \(6.0 \mathrm{~m} / \mathrm{s}\), as shown in the figure. Balls 1 and 2 are thrown toward her by her friends (standing still on the ground). As measured by Anita, both balls are approaching her at a speed of \(11 \mathrm{~m} / \mathrm{s}\).You may assume all the motions are completely horizontal.a) According to her friends, what is the magnitude and direction of the velocity of ball \(1\left(\vec{v}_{1}\right) ?\)b) According to her...

A rugby player passes the ball 5 m across the field, where it is captured at...

A rugby player passes the ball 5 m across the field, where it is captured at the same height when it left his hand. a) At what angle was the ball thrown if the initial velocity was 12m / s? b) What other angle gives the same range and say why it should not be used? How long did this pass take?

A ball is thrown straight up with an initial speed of 19 m/s. The ball was...

A ball is thrown straight up with an initial speed of 19 m/s. The ball was released 6.3 m above the ground, but when it returns back down, it falls into a hole d m deep. If the ball’s speed is 35.7 m/s at the bottom of the hole, how deep is the hole (in m)?

A billiard ball A moving at a speed of 2.4 m / s bumps into a...

A billiard ball A moving at a speed of 2.4 m / s bumps into a billiard ball B of the same mass, which are at rest. After the impact, A moves at a speed of 1.4 m / s in a direction that forms the angle 50 ◦ with A's original direction of movement. Determine the magnitude and direction of B's velocity vector by the impact. (Answer 1.8 m / s; 36 ◦)

During a tennis match, a player serves the ball at 28.6 m/s, with the center of...

During a tennis match, a player serves the ball at 28.6 m/s, with the center of the ball leaving the racquet horizontally 2.33 m above the court surface. The net is 12.0 m away and 0.900 m high. When the ball reaches the net, (a) what is the distance between the center of the ball and the top of the net? (b) Suppose that, instead, the ball is served as before but now it leaves the racquet at 5.00° below...

Question