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Please help! Q1. A car starts from rest at a stop sign and accelerates constantly for 5 s to 35 m/s, then coasts at constant

Please help!

Q1.

A car starts from rest at a stop sign and accelerates constantly for 5 s to 35 m/s, then coasts at constant speed for 3 s, and finally decelerates constantly in 2 s to rest at the next stop sign. How far apart in meters are the two stop signs?

Q2.

Nicole throws a ball straight up and past Chad who is 30 meters above her. Chad notes the ball takes 2.5 seconds to go from Nicole to the point where it passes him on the way back down. What speed in m/s did Nicole throw the ball at?

Q3.

The position vector of a particle as a function of time is given by r = (x, y), where x = 3 (t4/4) and y = 4 (t4/4). Everything in this problem is in SI units. What is the speed of the particle in m/s at time t = 2 s? (Hint: vx = dx/dt and vy = dy/dt.)

Answer value

Q4.

The minute hand on a clock is 10 cm in length. What is the magnitude of the displacement vector in cm of the tip of the minute hand as it moves between 12:30 and 12:55?

Q5.

A plane flying horizontally 475 mph relative to the air wants to travel due east relative to the ground, but there is a 60 mph horizontal wind blowing to the north. What magnitude of angle in degrees from east must the pilot fly at relative to the air in order to be traveling due east relative to the ground?

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