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A driver leaves a 3 m board on a trajectory that takes her 2.5 m above the board and then into the Water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board?

A driver leaves a 3 m board on a trajectory that takes her 2.5 m above the board and then into the Water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board?

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A driver leaves a 3 m board on a trajectory that takes her 2.5 m above the board and then into the Water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board? 

maximu trajectory that takes her 2.5 m to time to find the acceleration, and show that its position vector twice 84. In a conversion from military to peacetime use, a missile with maximum horizontal range 220 km is being adapted for studying magnitude is given by Equation 3.16 and its direction is toward the center of the circle. ground? 93. An object moves in a circular path of radius R in thex cal reaches maxi- th/tan 0. involving a mo- km/h zone hit a as thrown from ked whether he where the origin is at the center of the circle. It starts from rest. X = R and goes counterclockwise, undergoing constant tang tial acceleration y plane 85. A soccer player can kick a ball 33 m on level ground, with its inis tial velocity at 37° to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 17° upward slope? 86. A diver leaves a 3-m board on a trajectory that takes her 2.5 m above the board and then into the water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board? 87. Using calculus, you can find a function's maximum or mini- mum by differentiating and setting the result to zero. Do this for Equation 3.15, differentiating with respect to 0, and thus verify that the maximum range occurs for 0 achieve if launched vertically? Find expressions for (a) the magnitude ap (b) the direction (relative to the positive x-axis) of its acceler vector when it's traversed a quarter of the circle and thus e the positive y-axis. 94. After launch, a projectile lands a horizontal distan its launch point and a vertical distance R below its Here R is the horizontal range the projectile w launched over level ground at the same la launch angle. ange of a pro- 5° a. center of the le should the Passage Problems ed of 8 m/s? height h off ple and then Alice (A), Bob (B), and Carrie (C for the library for an evening 45°. 88. You're a consulting engineer specializing in athletic facilities, and you've been asked to help design the Olympic ski jump pic- tured in Fig. 3.27. Skiers will leave the ju ai 28 m/s and 9.5° edge of the e initi CH Subie Samsung Quad Camera Shot with my Galaxy A71
Transcribed Image Text:maximu trajectory that takes her 2.5 m to time to find the acceleration, and show that its position vector twice 84. In a conversion from military to peacetime use, a missile with maximum horizontal range 220 km is being adapted for studying magnitude is given by Equation 3.16 and its direction is toward the center of the circle. ground? 93. An object moves in a circular path of radius R in thex cal reaches maxi- th/tan 0. involving a mo- km/h zone hit a as thrown from ked whether he where the origin is at the center of the circle. It starts from rest. X = R and goes counterclockwise, undergoing constant tang tial acceleration y plane 85. A soccer player can kick a ball 33 m on level ground, with its inis tial velocity at 37° to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 17° upward slope? 86. A diver leaves a 3-m board on a trajectory that takes her 2.5 m above the board and then into the water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board? 87. Using calculus, you can find a function's maximum or mini- mum by differentiating and setting the result to zero. Do this for Equation 3.15, differentiating with respect to 0, and thus verify that the maximum range occurs for 0 achieve if launched vertically? Find expressions for (a) the magnitude ap (b) the direction (relative to the positive x-axis) of its acceler vector when it's traversed a quarter of the circle and thus e the positive y-axis. 94. After launch, a projectile lands a horizontal distan its launch point and a vertical distance R below its Here R is the horizontal range the projectile w launched over level ground at the same la launch angle. ange of a pro- 5° a. center of the le should the Passage Problems ed of 8 m/s? height h off ple and then Alice (A), Bob (B), and Carrie (C for the library for an evening 45°. 88. You're a consulting engineer specializing in athletic facilities, and you've been asked to help design the Olympic ski jump pic- tured in Fig. 3.27. Skiers will leave the ju ai 28 m/s and 9.5° edge of the e initi CH Subie Samsung Quad Camera Shot with my Galaxy A71
1.25 4.67 83. If you can throw a stone straight up maximum horizontal distance you could throw it ground? 84. In a conversion from military to peacetime use, a missile with maximum horizontal range 220 km is being adapted for studying Earth's upper atmosphere. What is the maximum altitude it can achieve if launched vertically? .65 4.91 complete a full circle. (c) Differentiate the position vector twice with respect to time to find the sccelerstion, and show that its magnitude is given by Equation 3.16 and its direction is toward 00 penod to 5.00 the center of the circle. 93. An object moves in a circular path of radius R in the r-y plane reaches maxi- tan 0. olving a mo- 85. A soccer player can kick a ball 33 m on level ground, with its ini. tial velocity at 37° to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 17° upward slope? where the origin is at the center of the circle. It starts from rest at x = R and goes counterclockwise, undergoing constant tangen- tial acceleration a,. Find expressions for (a) the magnitude and (b) the direction (relative to the positive r-axis) of its accelerat vector when it's traversed a quarter of the circle and thus the positive y-axis. 94. After launch, a projectile lands a horizontal distary its launch point and a vertical distance Rbelow ity Here R is the horizontal range the projectile launched over level ground at the same la launch angle. An /h zone hit a hrown from whether he Subject above the board and then into the water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board? a ge of a pro- a a. - a. 87. Using calculus, you can find a function's maximum or mini- mum by differentiating and setting the result to zero. Do this for Equation 3.15, differentiating with respect to 0, and thus verify that the maximum range occurs for 0 == 45°. 88. You're a consulting engineer specializing in athletic facilities, and you've been asked to help design the Olympic ski jump pic- tured in Fig. 3.27. Skiers will leave the jump at 28 m/s and 9,5° nter of the should the Passage Problems of 8 m/s? Alice (A), Bob (B), and Carrie (C ight h off and then for the library for an evening ge of the nitial ve- CH Subi Date Samsung Quad Camera Shot with my Galaxy A71
Transcribed Image Text:1.25 4.67 83. If you can throw a stone straight up maximum horizontal distance you could throw it ground? 84. In a conversion from military to peacetime use, a missile with maximum horizontal range 220 km is being adapted for studying Earth's upper atmosphere. What is the maximum altitude it can achieve if launched vertically? .65 4.91 complete a full circle. (c) Differentiate the position vector twice with respect to time to find the sccelerstion, and show that its magnitude is given by Equation 3.16 and its direction is toward 00 penod to 5.00 the center of the circle. 93. An object moves in a circular path of radius R in the r-y plane reaches maxi- tan 0. olving a mo- 85. A soccer player can kick a ball 33 m on level ground, with its ini. tial velocity at 37° to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 17° upward slope? where the origin is at the center of the circle. It starts from rest at x = R and goes counterclockwise, undergoing constant tangen- tial acceleration a,. Find expressions for (a) the magnitude and (b) the direction (relative to the positive r-axis) of its accelerat vector when it's traversed a quarter of the circle and thus the positive y-axis. 94. After launch, a projectile lands a horizontal distary its launch point and a vertical distance Rbelow ity Here R is the horizontal range the projectile launched over level ground at the same la launch angle. An /h zone hit a hrown from whether he Subject above the board and then into the water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board? a ge of a pro- a a. - a. 87. Using calculus, you can find a function's maximum or mini- mum by differentiating and setting the result to zero. Do this for Equation 3.15, differentiating with respect to 0, and thus verify that the maximum range occurs for 0 == 45°. 88. You're a consulting engineer specializing in athletic facilities, and you've been asked to help design the Olympic ski jump pic- tured in Fig. 3.27. Skiers will leave the jump at 28 m/s and 9,5° nter of the should the Passage Problems of 8 m/s? Alice (A), Bob (B), and Carrie (C ight h off and then for the library for an evening ge of the nitial ve- CH Subi Date Samsung Quad Camera Shot with my Galaxy A71
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