A minivan starts from rest on the road whose constant radius of curvature is 40 m and whose bank angle is 10°. The motion occurs in a horizontal plane. If the constant forward acceleration of the minivan is 1.8 m/s², determine the magnitude a of its total acceleration 5 seconds after starting. p=40 m- 10°
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- A car drives around a circular track of diameter 156 m at a constant speed of 33.0 m/s. During the time it takes the car to travel 102 degrees around, what is the magnitude of the car s average acceleration? 13.96 m/s^2 6.98 m/s^2 12.19 m/s^2 0 m/s^2 CANNOT USE CENTRIPITAL MOTION EQUATION, must calculate average accelerationFind the magnitude of the instantaneous acceleration (in m/s²) of an object that moves at a constant speed around a circle if it take it 4.24 s to complete one revolution. The radius of the circle is 2.52 m.Car A is traveling on a straight road while car B is moving along a circular exit ramp with a radius of 90 m, Figure 2. A's speed is increasing at a rate of 2 m / s2 and the speed of B is decreasing at a rate of 1.2 m / s2. For the indicated position, determine the velocity of B relative to A.
- When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v = (0.04s) ft/s² where s is in ft. Take p = 270 ft. ▼ Part A V If he starts at V₁ = 2 ft/s where s = 0 at A, determine the magnitude of his velocity when he reaches B. = Express your answer to three significant figures and include the appropriate units. μÅ Value Units Submit Part B = P 0 O μà 60° Submit Also, what is his initial acceleration? Express your answer to three significant figures and include the appropriate units. Value Units Request Answer P Request Answer ? ?An object slides along the inside of a vertical circular track and never loses contact with the track. As it slides upward it slows down, and as it slides downward it speeds up. It's not known whether it's moving clockwise or counterclockwise in the view shown. Match points A, B, C, and D with possible acceleration vectors at those points. Only one of the acceleration vectors shown is possible at each point. A с a BA bicycle travels 6.70 km due east in 0.240 h, then 14.40 km at 15.0° east of north in 0.310 h, and finally another 6.70 km due east in 0.240 h to reach its destination. The time lost in turning is negligible. Assume that east is in the +x-direction and north is in the +y-direction. What is the magnitude of the average velocity for the entire trip? What is the direction of the average velocity for the entire trip? Enter the answer as an angle in degrees north of east.
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- A bicyclist is at the bottom of a hill with a speed of 30 ft/s. After traveling 600 ft on the road, she reaches the top of the hill with a speed of 15 ft/s. Her total acceleration at the top of the hill is 1.3 ft/s^2. Assuming her acceleration along the road is constant. -What is the radius of curvature for the top of the hill?A bicycle travels 7.50 km due east in 0.210 h, then 8.80 km at 15.0° east of north in 0.770 h, and finally another 7.50 km due east in 0.210 h to reach its destination. The time lost in turning is negligible. Assume that east is in the +x-direction and north is in the +y-direction. What is the direction of the average velocity for the entire trip? Enter the answer as an angle in degrees north of eastA Ferris wheel with radius 8.5 m initially rotates clockwise at a constant rate by completing 1.25 rev in 40.00 s. It then begins to decelerate at a rate of 0.40 rad/s2 with its only passenger at the top of the wheel. Find the direction of the total acceleration vector. Express your answer as a positive number with respect to the positive x-axis. Choose up and to the right as your positive direction.