# Physics 1

A car accelerates at 3 m/s$^2$ from rest for 10 s. How far does it travel?

A car is moving at 100 km/h. It stops in 5.0 s. What is the car's acceleration?

A ball is thrown off a building. If the ball is thrown up at 5 m/s and lands 3 seconds later

Find the height of the building

Find the impact velocity of the ball

An object is projected straight upward from the ground level with a velocity of 50 m/s. Ignoring air resistance, it will return to the ground in approximately how many seconds?

A projectile is launched off a click at an angle. The cliff is 15m high, the projectile is launched at 25 degrees above horizontal. How much time is the projectile in the air before hitting the ground?

A swimmer is capable of swimming 0.60 ni/s in still water. (a) If she aims her body directly across a 55-m-wide river whose current is 0.50 m/s, how far downstream (from a point opposite her starting point) will she land? (b) How long will it take her to reach the other side?

A river is 300 m wide and the water flows downstream, exactly south, at 4 m/s. If a swimmer, moving at exactly 6 m/s, attempts to swim across the river:

At what direction should the swimmer orient himself to swim straight across the river in the east direction?

How long will it take the swimmer to across the river?

On a good dry road, a car with good tires may be able to brake with a constant deceleration of 4.92 m/s$^2$ . How long does such a car initially traveling at 24.6 m/s take to stop? How far does it travel this time?

A bullet was shot perfectly horizontally and was aimed directly at the center of a bulls eye 50 meters away. Suppose it struck 5 cm below the target. How fast was it going when it is fired?

A plastic ball is thrown with a velocity of 18 m/s stays in the air for 3.0 s.

At what angle with respect to the horizontal was it released?

What was the maximum height achieved by the ball?

An Object with mass m and initial velocity v is brought to rest by a constant force F acting for a time t and through a distance d. Possible expressions for the magnitude of the force F are: i. $\frac{mv^2}{2d}$ ii. $\frac{2md}{t^2}$ iii. $\frac{mv}{t}$

ii only

iii only

i and ii only

ii and iii only

i, ii, and iii

Determine the acceleration and the value of the normal force. Draw a free body diagram.

M = 10kg, $\theta$ = 30 degrees

A block of mass M = 5kg is placed on an incline of $\theta$ = 30 degrees. There is a frictional force of 15 N opposing the movement of the block. Determine the acceleration of the block. Draw a free body diagram to help find the answer.

Determine the acceleration of the system if m$_1$ = 5 kg and m$_2$ = 10 kg and the pulley has no mass. Determine the tension in the rope as well.

A M$_1$ = 6 kg box rests on a table and is connected to a second box of mass M$_2$ = 5 kg via a rope that hangs over a frictionless pulley as shown. The coefficient of friction, $\mu$ is 0.15, Use free body diagrams to answer the following:

B. What is the tension in the rope?

A M$_1$ = 8 kg box rests on a table and is connected to a second box of mass M$_2$ = 4 kg via a rope that hangs over a pulley as shown. The coefficient of static friction, $\mu_s$ is 0.2, and the coefficient of kinetic friction $\mu_k$ is 0.1. Use a free body diagrams to answer the following.

B. If the box does cause the system to move, what is the acceleration of the system, and the tension in the rope?

The large block m$_1$ is 6 kg, and the smaller block m$_2$ is 12 kg. The coefficient of kinetic friction is 0.2. Determine the acceleration of the system and the Tension T$_2$ . The applied force, F is 36 N. Also draw a free body diagram for both blocks.

A ball of mass M is thrown vertically upward with an initial speed of v0. It experiences a force of air resistance given by F=−kv, where k is a positive constant. The positive direction for all vector quantities is upward. Express all algebraic answers in terms of M, k, v0, and fundamental constants.

Does the magnitude of the acceleration of the ball increase, decrease, or remain the same as the ball moves upward?

Write, but do NOT solve, a differential equation for the instantaneous speed vof the ball in terms of time tas the ball moves upward.

Determine the terminal speed of the ball as it moves downward.

Does it take longer for the ball to rise to its maximum height or to fall from its maximal height back to the height from which it was thrown? Justify your answer.

Sketch a graph of velocity versus time for the upward and downward parts of the ball’s flight, where $t_f$ is the time at which the ball returns to the height from which it was thrown.