Sarah is running at a rate of 3.5 meters per second and accelerates at a constant rate. She weighs 715 Newtons and uses a horizontal force of 205 Newtons. What is the range she covers in these 4 seconds? *I have solved for the first three parts asking for her body mass (72.96kg answer), her horizontal acceleration(2.8m/s^2), and her velocity after the 4 seconds. I just do not know how to get the range from here. Thank you for your help!*

The figure shows the velocity graph of a 76 kg passenger in an elevator. (Figure 1) Part A What is the passenger's weight at t =1 s? Express your answer to two significant figures and include the appropriate units. HA ? w = Value Units Submit Request Answer Part B What is the passenger's weight at t = 5 s? Express your answer to two significant figures and include the appropriate units. ? w = Value Units Submit Request Answer Part C What is the passenger's weight at t = 9 s? Express your answer to two significant figures and include the appropriate units. ? w = Value Units Submit Request Answer Provide Feedback Figure V, (m/s) 8- 4 t (s) 10 4 6. 8

Determine the velocity of the crate when t = 4 s. Express your answer to three significant figures and include the appropriate units. The coefficient of kinetic friction between the 55-kg crate and the ground is μk = 0.3. The crate starts from rest, and P = 240 N. (Figure 1) Part A Figure 30° ✓ 1 of 1 НА ? v = Value Units Submit Request Answer Part B Determine the distance the crate travels when t = 4 s. Express your answer to three significant figures and include the appropriate units. НА ? 8 = Value Units Submit Request Answer Provide Feedback

Please solve and answer the question correctly. Thank you!

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2. A block of mass m is moving with speed v along a horizontal surface when it collides with a uniform rod of mass 2m and length L attached at one end to a pivot. The surface and pivot have negligible friction. The rod is vertical when the block collides with the end of the rod. The block sticks to the rod, and the block-rod system rotates so that the end of the rod reaches a height h, as shown above. The total rotational inertia of the rod about the pivot is 2mL/3. Express answers in parts (a), (b), and (c) in terms of m, L, v, and physical constants as appropriate. 2m, L a. Derive an expression for the angular speed of the block-rod system immediately after the collision. b. Show that the change in height h of the bottom of the rod can be given by the equation A = 3v-/20g. c. Derive an expression for the mechanical energy dissipated during the collision.

A 2.2×104 kg rocket has a rocket motor that generates 2.7×105 N of thrust. Part A What is the rocket's initial upward acceleration? Express your answer with the appropriate units. Part B At an altitude of 5000 m the rocket's acceleration has increased to 7.5 m/s². What mass of fuel has it burned? Express your answer with the appropriate units.

Please use at least 4 significant figures throughout the entire problem! Also use 9.80m/s2 for the acceleration due to gravity. DO NOT USE 10 M/S2 FOR THE ACCELERATION DUE TO GRAVITY! Thank You.

d. Force is a vector quantity and thus has both a magnitude and a direction. A vector can be represented graphically by a line drawn to scale in the direction of the line of action of the force. To distinguish between vector and scalar quantities, various ways are used. Identify and explain threeof these ways.

A car has a mass of 1500 kg. If the driver applies the brakes while on a gravel road, the maximum friction force that the tires can provide without skidding is about 7000 N. Part A If the car is moving at 21 m/s, what is the shortest distance in which the car can stop safely? Express your answer with the appropriate units. Ax= μÅ Value Units ****** ?