The speed of a projectile when it reaches its maximum height is 0.43 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile? O
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- The speed of a projectile when it reaches its maximum height is 0.38 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile?Problem 4 Derive expressions for the velocity (7) and acceleration (a) vectors in spherical coordinates. That is, transform and a from the Cartesian system of (x, y, z) to (r, 0, 0).A swimmer tries to cross a river swimming at the angle θ to theperpendicular to the stream (to the left). The speed of the swimmer isv’, the speed of the river u (to the right) is unknown, and the width ofthe river is h. The swimmer lands at the distance ? to the right fromthe opposite point at the other side of the river. What was the speed ofthe river?
- Please don't provide handwritten solution ....In the latest Indian Jones film, Indy is supposed to throw a grenade from his car, which is going 99.0 km/h , to his enemy's car, which is going 115 km/h . The enemy's car is 17.0 m in front of the Indy's when he lets go of the grenade. A 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. B Find the magnitude of the velocity relative to the earth.Dr. L. and his cat Kepler are coming home from fishing. They ended their trip on the southbank of a 1200 m wide river, directly across from where Caroline is waiting to pick them upon the north bank. They are in identical boats that travel at 4 m/s (VB) on still water. Theriver is normally ‘lazy’ and flows with negligible velocity. On a calm day, if they pointed theboats north, they would cross the river in exactly 300s. However, today, the river is flowingdue east with a constant velocity (VW) of 1 m/s relative to the ground. Kepler, because shedoesn’t know better (she is a cat after all), has not taken this into account. Without payingattention, Kepler keeps the boat pointed due north for the entire trip. A) Relative to the ground, what is Kepler’s velocity? Derive an algebraic solution(in terms of VB and VW only) and then give a numerical answer (three significant figures isfine) expressed in degrees relative to due north (e.g. ‘42.3° west of north’).