In the latest Indian Jones film, Indy is supposed to throw a grenade from his car, which is going 96.0 km/h, to his enemy's car, which is going 116 km/h. The enemy's car is 16.7 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 resistance. 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. LIVE ΑΣΦΑΙΡΟ ?
In the latest Indian Jones film, Indy is supposed to throw a grenade from his car, which is going 96.0 km/h, to his enemy's car, which is going 116 km/h. The enemy's car is 16.7 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 resistance. 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. LIVE ΑΣΦΑΙΡΟ ?
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Transcribed Image Text:In the latest Indian Jones film, Indy is supposed to
throw a grenade from his car, which is going 96.0
km/h, to his enemy's car, which is going 116
km/h. The enemy's car is 16.7 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 resistance.
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.
v0 =
VO
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Part B
[V=| ΑΣΦ
VE
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Ć
?
km/h
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.
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