An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of + 15.7 m/s and measures a time of 18.7 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet? (positive = up, negative = down)
You are driving your car, and the traffic light ahead turns red. You apply the brakes for 2.94 s, and the velocity of the car decreases to +5.35 m/s. The car’s deceleration has a magnitude of 2.98 m/s2 during this time. What is the car’s displacement?
A car is traveling at a constant speed of 27.3 m/s on a highway. At the instant this car passes an entrance ramp, a second car enters the highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain, so that the two cars meet for the first time at the next exit, which is 2.06 km away?
Two soccer players start from rest, 49 m apart. They run directly toward each other, both players accelerating. The first player’s acceleration has a magnitude of 0.40 m/s2. The second player’s acceleration has a magnitude of 0.50 m/s2. (a) How much time passes before the players collide? (b) At the instant they collide, how far has the first player run?
A jogger accelerates from rest to 5.13 m/s in 3.38 s. A car accelerates from 23.0 to 35.2 m/s also in 3.38 s. (a) Find the magnitude of the acceleration of the jogger. (b) Determine the magnitude of the acceleration of the car. (c) How much further does the car travel than the jogger during the 3.38 s?
Only one of the following is possible for a moving object. Which one?
a) The velocity is zero at one instant, and the acceleration is not zero at that instant.
b) The velocity is constant at all times, and the acceleration is not zero.
c) The velocity is directed northward and is increasing, while the acceleration is zero.
d) The velocity is directed eastward and is decreasing, while the acceleration is also eastward.
e) The velocity is directed eastward and is increasing, while the acceleration is directed westward.
Derive the dimension of power
A car travels for 2.00 h with a constant velocity of 40.0 km/h East, and then for 3.00 h with a constant velocity of 70.0 km/h also East. Find the average velocity for the entire journey if the Eastern direction is taken as positive
A body is moving along a straight line with a constant velocity of 64 km/h in the positive sense.
At t = 0 the position of the body was +1.4 km. Find the position of the body at t = 0.25
What does a speedometer in a vehicle read?