Constants Part A In the latest Indian Jones film, Indy is supposed to throw a grenade from his car, which is going 80.0 km/h, to his enemy's car, which is going 101 km/h. The enemy's car is 14.4 m in front of the Indy's when he lets go of the grenade If Indy throws the grenade so its initial velocity relative to him is at an angle of 45° above the horizontal, what should the magnitude of the initial velocity be? The cars are both traveling in the same direction on a level road. You can ignore air resistancee Hint: The grenade moves in projectile motion, and convert the two velocities given in the problem from km/hr to m/s. Being an excellent student of P2, Indy knows that horizontal range of the grenade must equal the distance that the enemies car is ahead at the time the grenade is thrown plus the distance the enemies car travels while the grenade is in the air. This distance is given by v_rel*t, where v_rel the relative velocity of the enemies car relative to the Indy's and t is the time in the air. Solve for time that the grenade is in the air in terms of v_0 Use the range equation to get the grenade distance as a function of v_0 Set R-(initial separation)+v rel t and get a 2nd order polynomial for v 0. Use quadratic equation to get v 0. This is the magnitude of the velocity vector relative to Indy km/h Submit Request Answer ▼ Part B Find the magnitude of the velocity relative to the earth Hint: Use Galileo's equation where Frame A is ground, Frame B is Indy's car and the object of interest P is the granade Use your answer in part A for speed and given direction to calculate the x and y components of the velocity with respect to Indy's car. The velocity of Indy's car with respect to the ground is straightforward to write in x and y components km/h Submit Request Answer

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Constants
Part A
In the latest Indian Jones film, Indy is supposed to throw a grenade from his
car, which is going 80.0 km/h, to his enemy's car, which is going 101
km/h. The enemy's car is 14.4 m in front of the Indy's when he lets go of
the grenade
If Indy throws the grenade so its initial velocity relative to him is at an angle of 45° above the horizontal, what should the magnitude of the initial velocity be? The cars are both traveling in the
same direction on a level road. You can ignore air resistancee
Hint: The grenade moves in projectile motion, and convert the two velocities given in the problem from km/hr to m/s. Being an excellent student of P2, Indy knows that horizontal range of the
grenade must equal the distance that the enemies car is ahead at the time the grenade is thrown plus the distance the enemies car travels while the grenade is in the air. This distance is given by
v_rel*t, where v_rel the relative velocity of the enemies car relative to the Indy's and t is the time in the air.
Solve for time that the grenade is in the air in terms of v_0
Use the range equation to get the grenade distance as a function of v_0
Set R-(initial separation)+v rel t and get a 2nd order polynomial for v 0. Use quadratic equation to get v 0. This is the magnitude of the velocity vector relative to Indy
km/h
Submit
Request Answer
▼ Part B
Find the magnitude of the velocity relative to the earth
Hint: Use Galileo's equation where Frame A is ground, Frame B is Indy's car and the object of interest P is the granade
Use your answer in part A for speed and given direction to calculate the x and y components of the velocity with respect to Indy's car. The velocity of Indy's car with respect to the ground is
straightforward to write in x and y components
km/h
Submit
Request Answer
Transcribed Image Text:Constants Part A In the latest Indian Jones film, Indy is supposed to throw a grenade from his car, which is going 80.0 km/h, to his enemy's car, which is going 101 km/h. The enemy's car is 14.4 m in front of the Indy's when he lets go of the grenade If Indy throws the grenade so its initial velocity relative to him is at an angle of 45° above the horizontal, what should the magnitude of the initial velocity be? The cars are both traveling in the same direction on a level road. You can ignore air resistancee Hint: The grenade moves in projectile motion, and convert the two velocities given in the problem from km/hr to m/s. Being an excellent student of P2, Indy knows that horizontal range of the grenade must equal the distance that the enemies car is ahead at the time the grenade is thrown plus the distance the enemies car travels while the grenade is in the air. This distance is given by v_rel*t, where v_rel the relative velocity of the enemies car relative to the Indy's and t is the time in the air. Solve for time that the grenade is in the air in terms of v_0 Use the range equation to get the grenade distance as a function of v_0 Set R-(initial separation)+v rel t and get a 2nd order polynomial for v 0. Use quadratic equation to get v 0. This is the magnitude of the velocity vector relative to Indy km/h Submit Request Answer ▼ Part B Find the magnitude of the velocity relative to the earth Hint: Use Galileo's equation where Frame A is ground, Frame B is Indy's car and the object of interest P is the granade Use your answer in part A for speed and given direction to calculate the x and y components of the velocity with respect to Indy's car. The velocity of Indy's car with respect to the ground is straightforward to write in x and y components km/h Submit Request Answer
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