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Chapter 2: Q50PE (page 84)

A kangaroo can jump over an object 2.50 mhigh.

(a) Calculate its vertical speed when it leaves the ground.

(b) How long is it in the air?

Short Answer

Expert verified

a)7ms

b) 1.43 s

Step by step solution

01

Given data

  • Final velocity: V= 0.
  • Distance: D= 2.50 m.
  • Acceleration: g=-9.81 m/s2.
02

Vertical speed or initial velocity of kangaroo

a)

The initial velocity of the kangaroo can be calculated by the following equation:

V2-U2=2gd

Here V is the final velocity, g is the acceleration, U is the initial velocity, and d is the distance traveled to achieve the final velocity.

Substituting the values in the above expression, we get:

02-U2=2脳-9.81脳2.5U=49.05msU=7ms

Hence the initial velocity of the kangaroo is 7ms.

03

Time taken by a kangaroo in the air

b)

Hence, the given data:

  • U=7ms.
  • V= -7ms.
  • g = -9.81 m/s2

The time can be calculated from the equation of motion as:

V=U+gt

Here t is the time.

Substituting the values in the above expression, we get:

-7=7+-9.81脳tt=-14-9.81=1.43s

The total time spent by the kangaroo in the air is 1.43 s .

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Most popular questions from this chapter

A steel ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of 1.45 m. (a) Calculate its velocity just before it strikes the floor. (b) Calculate its velocity just after it leaves the floor on its way back up. (c) Calculate its acceleration during contact with the floor if that contact lasts 0.0800 ms (\({\bf{8}}{\bf{.00 \times 1}}{{\bf{0}}^{{\bf{ - 5}}}}\;{\bf{s}}\)) . (d) How much did the ball compress during its collision with the floor, assuming the floor is absolutely rigid?

Plus and minus signs are used in one-dimensional motion to indicate direction. What is the sign of an acceleration that reduces the magnitude of a negative velocity? Of a positive velocity?

Give an example in which there are clear distinctions among distance traveled, displacement, and magnitude of displacement. Specifically, identify each quantity in your example

A basketball referee tosses the ball straight up for the starting tip-off. At what velocity must a basketball player leave the ground to rise above the floor in an attempt to get the ball?

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